Let f(x) log x and n N a) Find the Taylor polynomial Pn pnf,1 b) Prove that if x 1, 2 , then c) Find an n so large that Pn approximates log x on 1, 2 to three decimal places log x pn (x) n 1...

a If fx log x then f n x 1 n1 n 1x n Thus b By Taylors F ...

Let f(x) = log x and n N. a) Find the Taylor polynomial Pn := pnf,1.

Question:

Let f(x) = log x and n ˆˆ N.
a) Find the Taylor polynomial Pn := pnf,1.
b) Prove that if x ˆˆ [1, 2], then

c) Find an n so large that Pn approximates log x on [1, 2] to three decimal places.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:00 AM

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Let f(x) = log x and n N. a) Find the Taylor polynomial Pn := pnf,1.

Question:

| log x-pn (x) | n + 1

Step by Step Answer:

a If fx log x then f n x 1 n1 n 1x n Thus b By Taylors F...View the full answer

An Introduction to Analysis

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