(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let f(x) = sin x

a) find p_6 (taylor polynomial 6th degree) for f at x = 0

b) How accurate is this on the interval [-1,1]

2. Relevant equations

3. The attempt at a solution

I got p_6 = x + (x^3)/6 + (x^5)/120, which was correct as per the solution manual. My issue is with part b.

What's the procedure that one takes to estimate the accuracy of a taylor approximation within a given interval?

Thank you all for your help

M

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# Homework Help: Very quick Taylor Approximation Question

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