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**1. Homework Statement**

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. Homework 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