Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 4, Problem 24P

Develop a well-structured program to compute the Maclaurin series expansion for the cosine function as described in Prob. 4.2. The function should have the following features:

• Iterate until the relative error falls below a stopping criterion ( es ) or exceeds a maximum number of iterations ( maxit ) . Allow the user to specify values for these parameters.

• Include default values of ( es ) es ( = 0.000001 )  and maxit ( = 100 ) in the event that they are not specified by the user.

• Return the estimate of cos ( x ) , the approximate relative error, the number of iterations, and the true relative error (that you can calculate based on the built-in cosine function).

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