Exercise 20.

The use of the Taylor series for computing becomes increasingly inefficient for large because it converges slowly. It also becomes increasingly inaccurate because of cancellation of positive and negative terms. Write a Maple procedure which sums the terms of the asymptotic series for for large until it converges. How large must be before this series converges at Digits decimal digits of precision? Combine the use of both the Taylor series and the asymptotic series to write a procedure that computes for all accurate to Digits decimal digits of precision.