The sum of the series E-o(n²/2") To find the sum of this se- ries, express 1/(1 – x) as a geometric series, differentiate both sides of the resulting equation with respect to x, multiply both sides of the result by x, differentiate again, multiply by x again, and set x equal to 1/2. What do you get?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 55SE: The sum of an infinite geometric series is five times the value of the first term. What is the...
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The sum of the series E-o(n²/2") To find the sum of this se-
ries, express 1/(1 – x) as a geometric series, differentiate both
sides of the resulting equation with respect to x, multiply both
sides of the result by x, differentiate again, multiply by x again,
and set x equal to 1/2. What do you get?
Transcribed Image Text:The sum of the series E-o(n²/2") To find the sum of this se- ries, express 1/(1 – x) as a geometric series, differentiate both sides of the resulting equation with respect to x, multiply both sides of the result by x, differentiate again, multiply by x again, and set x equal to 1/2. What do you get?
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