By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series. A. 1+6+ 2+ 3+ 4+ + + B. 1 + 2 + ( )² + ( 1 )³ + (²)¹ + · = · · · · + ( ² ) ¹²₁ + · · · =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each
convergent series.
A. 1+6 + 9 +
B. 1 + 1 + ( ² ) ² + ( 1 )³ + (ž)¹ +
+
+
672
=
+( 1/1 ) ² +
=
Transcribed Image Text:By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series. A. 1+6 + 9 + B. 1 + 1 + ( ² ) ² + ( 1 )³ + (ž)¹ + + + 672 = +( 1/1 ) ² + =
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