For a Taylor series to exist and give the exact value of f (x), which of the following must be true?   a. The function f (x) must be differentiable an infinite number of times.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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For a Taylor series to exist and give the exact value of f (x), which of the following must be true?

 

a. The function f (x) must be differentiable an infinite number of times.

b. Taylor series must converge.

c, The function f (x) must be differentiable an infinite number of times, and the Taylor series must converge.

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