Question: Q1(10 points)Evaluate e-5 using Maclaurin-series-based approaches and compare the accuracy against the true valuee-5=6.73794710-3.(a) Use e-x=1-x+x22!-x33!+cdots with x=5 and N=15 terms. After each added term,compute

Q1(10 points)Evaluate e-5 using Maclaurin-series-based approaches and compare the accuracy against the true valuee-5=6.73794710-3.(a) Use e-x=1-x+x22!-x33!+cdots with x=5 and N=15 terms. After each added term,compute the true percent relative errort(%)=|e-5-SNe-5|100%(b) Use e-5=1e5 and approximate e5 with ex=1+x+x22!+x33!+cdots(x=5;N=15), theninvert. Report the true percent error and compare with part (a).Note. SN denotes the partial sum upto index N used to approximate e-5SN has N+1 terms in total.SN=k=0N(-1)k5kk!TN=k=0N5kk! for e5 and use widehat(E)N=1TN.

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