Thread: 1 Last Question on Taylor Polynomials

I was able to understand all of the questions (after your guys' help, once again, thank you very much) up until this one which kind of reverses the question:

Suppose that f is a function such that , and for


a) Estimate using a quadratic Taylor polynomial.

b) Find an upper bound on the approximation error made in part (a).

Originally Posted by larson

I was able to understand all of the questions (after your guys' help, once again, thank you very much) up until this one which kind of reverses the question:

Suppose that f is a function such that , and for


a) Estimate using a quadratic Taylor polynomial.

b) Find an upper bound on the approximation error made in part (a).

The Taylor polynomial of degree 2 for a well-behaved function at a point is . This means you want to find the this Taylor polynomial at and use the infromation given above.