{"id":9487,"date":"2021-09-30T17:00:30","date_gmt":"2021-09-30T11:30:30","guid":{"rendered":"https:\/\/python-programs.com\/?p=9487"},"modified":"2021-11-22T18:33:34","modified_gmt":"2021-11-22T13:03:34","slug":"python-program-to-compute-the-value-of-eulers-number-using-the-formula-e-1-1-1-1-2-1-n","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-compute-the-value-of-eulers-number-using-the-formula-e-1-1-1-1-2-1-n\/","title":{"rendered":"Python Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n!"},"content":{"rendered":"<p>Our website provided core <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">java programs examples with output<\/a> aid beginners and expert coders to test their knowledge gap and learn accordingly.<\/p>\n<p>Given a number numb, the task is to compute the value of the Euler&#8217;s number expansion in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =3<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 3\r\nThe total sum of euler's value of the series 2.67<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =5<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of euler's value of the series  2.72<\/pre>\n<h3>Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n! in Python<\/h3>\n<p>There are several ways to calculate the value of the euler&#8217;s number some of them are:<\/p>\n<ul>\n<li><a href=\"#Using_factorial_function_and_for_loop(Static_Input)\">Using factorial function and for loop(Static Input)<\/a><\/li>\n<li><a href=\"#Using_factorial_function_and_for_loop(User_Input)\">Using factorial function and for loop(User Input)<\/a><\/li>\n<li><a href=\"#Using_factorial_function_and_while_loop(Static_Input)\">Using factorial function and while loop(Static Input)<\/a><\/li>\n<li><a href=\"#Using_factorial_function_and_while_loop(User_Input)\">Using factorial function and while loop(User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_factorial_function_and_for_loop(Static_Input)\">Method #1:Using factorial function and for loop(Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as static input.<\/li>\n<li>Set the value of the <strong>totalsum<\/strong> variable to 1.<\/li>\n<li>Find the total of the series using a for loop ranging from 1 to the number.<\/li>\n<li>Compute the factorial using math. factorial() function.<\/li>\n<li>After rounding to two decimal places, print the <strong>totalsum <\/strong>of the series.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">import math\r\n# Give the number of terms as static input.\r\nnumb = 5\r\n# Set a totalsum variable which calculates the total sum and initialize it to 1.\r\ntotalsum = 1\r\n# Find the total of the series using a for loop ranging from 1 to the number.\r\nfor val in range(1, numb+1):\r\n  # Compute the factorial using math. factorial() function.\r\n    totalsum = totalsum+(1\/math.factorial(val))\r\n# Print the totalsum value of the euler's series, rounded to two decimal places.\r\nprint(\"The total sum of euler's value of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of euler's value of the series  2.72<\/pre>\n<h3 id=\"Using_factorial_function_and_for_loop(User_Input)\">Method #2:Using factorial function and for loop(User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Scan the given number as user input by using <strong>int(input())<\/strong>\u00a0function.<\/li>\n<li>Set the value of the <strong>totalsum<\/strong> variable to 1.<\/li>\n<li>Find the total of the series using a for loop ranging from 1 to the number.<\/li>\n<li>Compute the factorial using math. factorial() function.<\/li>\n<li>After rounding to two decimal places, print the <strong>totalsum <\/strong>of the series.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">import math\r\n#  Scan the number as user input by using int(input()) function\r\nnumb = int(input('Enter some random number = '))\r\n# Set a totalsum variable which calculates the total sum and initialize it to 1.\r\ntotalsum = 1\r\n# Find the total of the series using a for loop ranging from 1 to the number.\r\nfor val in range(1, numb+1):\r\n  # Compute the factorial using math. factorial() function.\r\n    totalsum = totalsum+(1\/math.factorial(val))\r\n# Print the totalsum value of the euler's series, rounded to two decimal places.\r\nprint(\"The total sum of euler's value of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 13\r\nThe total sum of euler's value of the series 2.72<\/pre>\n<h3 id=\"Using_factorial_function_and_while_loop(Static_Input)\">Method #3:Using factorial function and while loop(Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as static input.<\/li>\n<li>Set a\u00a0<strong>totalsum<\/strong>\u00a0variable which calculates the total sum and initialize it to 0.<\/li>\n<li>Take a variable say value and initialize it to 1.<\/li>\n<li>Using while loop calculate the total sum till value greater than given number<\/li>\n<li>Compute the factorial using math. factorial() function.<\/li>\n<li>Calculate the totalsum by incrementing it value with 1\/factorial value.<\/li>\n<li>Increment the value by 1.<\/li>\n<li>Print the\u00a0<strong>totalsum<\/strong>\u00a0of the series, rounded to two decimal places.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">import math\r\n# Give the number of terms as static input.\r\nnumb = 3\r\n# Take a variable say value and initialize it to 1.\r\nvalue = 1\r\n# Set a totalsum variable which calculates the total sum and initialize it to 1.\r\ntotalsum = 1\r\n# Using while loop calculate the total sum till value greater than given number\r\nwhile(value &lt;= numb):\r\n   # Compute the factorial using math. factorial() function.\r\n    totalsum = totalsum+(1\/math.factorial(value))\r\n    # Increment the value by 1.\r\n    value = value+1\r\n# Print the totalsum value of the euler's series, rounded to two decimal places.\r\nprint(\"The total sum of euler's value of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The total sum of euler's value of the series 2.67<\/pre>\n<h3 id=\"Using_factorial_function_and_while_loop(User_Input)\">Method #4:Using factorial function and while loop(User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Scan the given number as user input by using <strong>int(input())<\/strong>\u00a0function.<\/li>\n<li>Set a\u00a0<strong>totalsum<\/strong>\u00a0variable which calculates the total sum and initialize it to 0.<\/li>\n<li>Take a variable say value and initialize it to 1.<\/li>\n<li>Using while loop calculate the total sum till value greater than given number<\/li>\n<li>Compute the factorial using math. factorial() function.<\/li>\n<li>Calculate the totalsum by incrementing it value with 1\/factorial value.<\/li>\n<li>Increment the value by 1.<\/li>\n<li>Print the\u00a0<strong>totalsum<\/strong>\u00a0of the series, rounded to two decimal places.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">import math\r\n# Scan\u00a0the\u00a0number\u00a0as\u00a0user\u00a0input\u00a0by\u00a0using\u00a0int(input())\u00a0function\r\nnumb = int(input('Enter some random number = '))\r\n# Take a variable say value and initialize it to 1.\r\nvalue = 1\r\n# Set a totalsum variable which calculates the total sum and initialize it to 1.\r\ntotalsum = 1\r\n# Using while loop calculate the total sum till value greater than given number\r\nwhile(value &lt;= numb):\r\n   # Compute the factorial using math. factorial() function.\r\n    totalsum = totalsum+(1\/math.factorial(value))\r\n    # Increment the value by 1.\r\n    value = value+1\r\n# Print the totalsum value of the euler's series, rounded to two decimal places.\r\nprint(\"The total sum of euler's value of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 3\r\nThe total sum of euler's value of the series 2.67<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-area-semi-perimeter-and-perimeter-of-a-triangle\/\">Python Program to Calculate the Area of a Triangle<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-compute-all-the-permutations-of-the-string\/\">Python Program to Compute all the Permutation of the String<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-standard-deviation\/\">Python Program to Calculate the Standard Deviation<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-compute-simple-interest\/\">Python Program to Compute Simple Interest<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/program-to-read-a-number-n-and-compute-n-nn-nnn-in-cpp-and-python\/\">Program to Read a Number n and Compute n+nn+nnn in C++ and Python<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Our website provided core java programs examples with output aid beginners and expert coders to test their knowledge gap and learn accordingly. Given a number numb, the task is to compute the value of the Euler&#8217;s number expansion in Python. Examples: Example1: Input: given number =3 Output: Enter some random number = 3 The total &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-compute-the-value-of-eulers-number-using-the-formula-e-1-1-1-1-2-1-n\/\"> <span class=\"screen-reader-text\">Python Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n!<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":9492,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n! - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-compute-the-value-of-eulers-number-using-the-formula-e-1-1-1-1-2-1-n\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n! - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Our website provided core java programs examples with output aid beginners and expert coders to test their knowledge gap and learn accordingly. 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+ 1\/2! + \u2026\u2026 1\/n! - Python Programs","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/python-programs.com\/python-program-to-compute-the-value-of-eulers-number-using-the-formula-e-1-1-1-1-2-1-n\/","og_locale":"en_US","og_type":"article","og_title":"Python Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n! - Python Programs","og_description":"Our website provided core java programs examples with output aid beginners and expert coders to test their knowledge gap and learn accordingly. Given a number numb, the task is to compute the value of the Euler&#8217;s number expansion in Python. Examples: Example1: Input: given number =3 Output: Enter some random number = 3 The total &hellip; Python Program to Compute the Value of Euler\u2019s Number ,Using the Formula: e = 1 + 1\/1! + 1\/2! + \u2026\u2026 1\/n! 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