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# Answer: Estimating remainders Find the remainder term

ISBN: 9780321570567 2

## Solution for problem 13RE Chapter 9

Calculus: Early Transcendentals | 1st Edition

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Problem 13RE

Estimating remainders Find the remainder term Rn(x)far the Taylor series centered at 0 for the following functions. Find an upper bound for the magnitude of the remainder on the given interval for the given value of n. (The bound is not unique.)

f(x) = sin x; bound R3(x) for |x|<π.

Step-by-Step Solution:

Solution 13RE

Step 1:

Given that

f(x) = sin x; bound R3(x) for |x|<π.

Step 2</p>

To find

Find the remainder term Rn(x)far the Taylor series centered at 0 for the following functions. Find an upper bound for the magnitude of the remainder on the given interval for the given value of n.

Step 3 of 3

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