Find the Taylor series for f (x) = 1/x centered at a = −3. Also, find the interval of convergence.  (Find R and the interval of convergence)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Find the Taylor series for f (x) = 1/x centered at a = −3. Also, find the interval of
convergence. 

(Find R and the interval of convergence) Thank you.

In problems determining series convergence or divergence, include:
• The name of the convergence test or the definition used,
• work to show that the test conditions have been met or work to apply the
definition,
• and a conclusion statement about convergence or divergence.

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