The Taylor series approximation of e* is simply given by: = n=0 n! (a) Use Matlab...

 

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The Taylor series approximation of e* is simply given by: = n=0 n!" (a) Use Matlab to estimate e" with the first 50 terms of the Taylor series. Use what you know about vectors and the built-in function sum to conduct your calculations. Store your answer in variable T50V. (5 Points) (b) Repeat the calculation of the previous part only with for-loops but use the first 500 terms. Usage of vectors and built-in functions is not permitted. Store your answer in variable T50L. (10 Points) (c) Calculate the %error of Part (a). The % error = |E-A/E x 100, where E is the exact value and A is the approximate value. Store your answer in variable ERROR. (5 Points) The Taylor series approximation of e* is simply given by: = n=0 n!" (a) Use Matlab to estimate e" with the first 50 terms of the Taylor series. Use what you know about vectors and the built-in function sum to conduct your calculations. Store your answer in variable T50V. (5 Points) (b) Repeat the calculation of the previous part only with for-loops but use the first 500 terms. Usage of vectors and built-in functions is not permitted. Store your answer in variable T50L. (10 Points) (c) Calculate the %error of Part (a). The % error = |E-A/E x 100, where E is the exact value and A is the approximate value. Store your answer in variable ERROR. (5 Points)