Let (x) ln(x 3 x 1) The third Taylor polynomial at a 1 is Find the maximum possible value of (1 1) T 3 (1 1) , using the graph in Figure 9 to find an acceptable value of K Verify your result by computing (1 1) T 3 (1 1) using a calculator 7 T3(x) 2(x 1) (x 1) (x 1)...

The maximum value of fx on 10 11 is less than 41 so we may t ...

Let (x) = ln(x 3 x + 1). The third Taylor polynomial at a = 1

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Let ƒ(x) = ln(x³ − x + 1). The third Taylor polynomial at a = 1 is 7 T3(x) = 2(x - 1) + (x - 1) - (x - 1)

Find the maximum possible value of |ƒ(1.1) − T₃(1.1)|, using the graph in Figure 9 to find an acceptable value of K. Verify your result by computing |ƒ(1.1) − T₃(1.1)| using a calculator.

41 40 20 +X 0.9 1.0 1.1 1.2

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 06:28 AM

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Let (x) = ln(x 3 x + 1). The third Taylor polynomial at a = 1

Question:

7 T3(x) = 2(x - 1) + (x - 1)²-(x-1)³

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The maximum value of fx on 10 11 is less than 41 so we may t...View the full answer

Calculus

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