(8) Let /(x) = In(1 + 36x²). (a) Find the Taylor series for f centered at a = 0. (b) Show that the interval of convergence for this Taylor series is l-6 1 (c) Find P(x) and the Taylor series for fº(x) centered at a = 0. What is the interval of convergence for the Tayl series for 0?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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(8) Let (x) = In(1 + 36x²).
(a) Find the Taylor series for f centered at a = 0.
(b) Show that the interval of convergence for this Taylor series isl-å l
(c) Find P(x) and the Taylor series for º(x) centered at a = 0. What is the interval of convergence for the Taylor
series for f0?
Transcribed Image Text:(8) Let (x) = In(1 + 36x²). (a) Find the Taylor series for f centered at a = 0. (b) Show that the interval of convergence for this Taylor series isl-å l (c) Find P(x) and the Taylor series for º(x) centered at a = 0. What is the interval of convergence for the Taylor series for f0?
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