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If we wanted to find a power series for f(x) = (x+5)2 we could use the fact that = (x+5)2 a) First, find a power series for: (using the geometric form process) b) If your power series is alternating, make sure to separate the "-1" from the “x" (i.e. E-o (-1)*ax ) c) Expand your power series to the first 5 terms, then differentiate term by term like we did in class. d) Are you able to come up with a sigma notation for your infinite power series? What does it look like? x+5

If we wanted to find a power series for f(x) = (x+5)2 we could use the fact that = (x+5)2 a) First, find a power series for: (using the geometric form process) b) If your power series is alternating, make sure to separate the "-1" from the “x" (i.e. E-o (-1)*ax ) c) Expand your power series to the first 5 terms, then differentiate term by term like we did in class. d) Are you able to come up with a sigma notation for your infinite power series? What does it look like? x+5

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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(x+5)2 , we could use the fact that 45 (x+5)2 If we wanted to find a power series for f (x) 1 %3D -1 a) First, find a power series for: (using the geometric form process) x+5 b) If your power series is alternating, make sure to separate the “-1" from the “x" (i.e. E=o (-1)*a« ) c) Expand your power series to the first 5 terms, then differentiate term by term like we did in class. d) Are you able to come up with a sigma notation for your infinite power series? What does it look like?
Transcribed Image Text:(x+5)2 , we could use the fact that 45 (x+5)2 If we wanted to find a power series for f (x) 1 %3D -1 a) First, find a power series for: (using the geometric form process) x+5 b) If your power series is alternating, make sure to separate the “-1" from the “x" (i.e. E=o (-1)*a« ) c) Expand your power series to the first 5 terms, then differentiate term by term like we did in class. d) Are you able to come up with a sigma notation for your infinite power series? What does it look like?
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