(1+x)-3=1-3x+6x2-10x3........ with  ex= 1+x +x2/2 +x3/6............

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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compare the series

(1+x)-3=1-3x+6x2-10x3........

with 

ex= 1+x +x2/2 +x3/6............

 

Are they both convergent? How can you prove this?

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