question evaluate e-5 using two approachese-x 1

Question

Question Evaluate e^-5 using two approaches

e^-x = 1 – x + x²/2 –x³/3!+-----

and

e^-x = 1/ex  = 1/1+x+x²/2 + x³/3! + --------------

 

and compare with the true value of 6.737947 x 10^-3 . Use 20 terms to evaluate each series and compute true and approximate relative errors as terms are added.