Consider the function defined as Sinc(x) = (sin x)/x .

(a) Using the Taylor series for sin x, compute the Taylor series for Sinc(x) up to and including terms of 0(x⁶ ).

(b) Use the series (integrate) to estimate the value of R 1 0 Sinc(x) dx

(c) Compare your answer using terms up to 0(x⁵ ) and then 0(x⁷ ) with the solution obtained in some other manner (exact, Wolfram Alpha, matlab ...) and comment.