(1 pt) Consider the error in using the approximation sin ( x ) = x on the interv

Question

                    (1 pt) Consider the error in using the approximation sin(x)=x on the interval [-1,1]                     .                 

                    (a) Reasoning informally, on what interval is this approximation an overestimate?
                    An underestimate?
                    (b) Use the Error Bound for Taylor Polynomials to find a good smallest bound for the error in approximating sin(x) with x on this interval:
                    error bound =                 

                    Now, consider the error in using the approximation sin(x)=x+(-x^3/3!) on the same                     interval.                 

                    (c) Reasoning informally, on what interval is this approximation an overestimate?
                    An underestimate?
                

                    (d) Use the Error Bound for Taylor Polynomials to find a good smallest bound for the error in approximating sin(x) with x+(-x^3/3!) on this interval:
                    error bound =                 

Explanation / Answer

a)

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