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The value of e (Euler's number) can be approximated by the Maclaurin series of exp(x) with x=1 The Maclaurin terms for this series are T(n)=1/(n-1)!
The value of e (Euler's number) can be approximated by the Maclaurin series of exp(x) with x=1 The Maclaurin terms for this series are T(n)=1/(n-1)! with n=1, ...Infinity, so e is equal to the sum from 1 to infinity of T(n): e=1 + 1 + 1/2 + 1/6 + 1/24 + .. Write a function that evaluates the sum of a finite number of terms in the series, starting from 1 to N_terms and returns: (1) the estimate, (2) the true percent relative error, and (3) an anonymous function MLe that returns a single term of the series given a value n that denotes the index to use, e.g., MLe(3)=1/(2!)=1/2. Hint: n! = nx (n-1) (n-2)x... x 2 x 1. (You may use the MATLAB built-in function "factorial." Note that 0!=1) Function Save Reset MATLAB Documentation 1 function (estimate, eps_t,MLe] = Mid1_P2(N_terms) 2 3 %% Input 4 % N_terms: number of terms in Maclaurin series expansion of exp(1) (inte 5 % 6 %% Output 7 % estimate result of Maclaurin series expansion 8 % eps_t true percent error of estimate 9 % MLe anonymous function handle 10 11 %% Write your code here 0% (20%) X Test 1 Check the output of your solution for N_terms=1. 0% (20%) Test 2 Check the output of your solution for N_terms=2 0% (20%) % Test 3 Check the output of your solution for N_terms > 1. 0% (20%) X Test 4 Check your calculation of error Test 5 0% (20%) Total: 0%
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