47. Let Tn be the Taylor polynomial for f(x) = In x at a = 1, and let c > 1. Show that |c – 1|a+1 n +1 | Inc - T(c)| < Then find a value of n such that | In 1.5 – Tn(1.5)| < 10-2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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47. Let Tn be the Taylor polynomial for f(x) = In x at a = 1, and let c > 1. Show that
|c – 1|a+1
n +1
| Inc - T(c)| <
Then find a value of n such that | In 1.5 – Tn(1.5)| < 10-2.
Transcribed Image Text:47. Let Tn be the Taylor polynomial for f(x) = In x at a = 1, and let c > 1. Show that |c – 1|a+1 n +1 | Inc - T(c)| < Then find a value of n such that | In 1.5 – Tn(1.5)| < 10-2.
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