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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 are T(n)=1/(n-1)! with n=1,..., Infinity,
The value of e (Euler's number) can be approximated by the Maclaurin series of exp(x) with x=1. The Maclaurin terms are T(n)=1/(n-1)! with n=1,..., Infinity, so eis 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 both the estimate the true absolute percent relative error. Hint: n! = n x (n-1) x (n-2) x ... X 2 x 1. (You may use the MATLAB built-in function "factorial".) Function C Reset ! MATLAB Documentation i function (estimate, eps_t] = Mid1_P2 (N_terms) 24 Input 3% N_terms: number of terms in Maclaurin series expansion of exp(1) (integer) 4 % ovo 5 % Output 6% estimate 7% eps_t result of Maclaurin series expansion true percent error of estimate 10 4 Maclaurin series: for loop over n to sum all terms from 1 to N_terms 11 estimate = 0; 12 eps_t = 0
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