Let Tn be the Taylor polynomial for f (x) = ln x at a = 1, and let c > 1. Show that

Chapter 8, Problem 47

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Let Tn be the Taylor polynomial for f (x) = ln x at a = 1, and let c > 1. Show that | ln c Tn(c)| |c 1| n+1 n + 1 Then find a value of n such that | ln 1.5 Tn(1.5)| 102.

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