7. Using the rules of differential or integration, find the formula for the sum of the following power series: 12x2 4x 1 2 32x3 + ... 4 3 Then determine the sum of the series for x = 1 Hint: the reference series is the series: 4x2 + 2 8x3 16x4 2x + .. = S(x) = In(2x + 1) 4 3

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. Using the rules of differential or integration, find the formula for the sum of the following
power series:
12x2
4x
1
2
32x3
+ ...
4
3
Then determine the sum of the series for x = 1
Hint: the reference series is the series:
4x2
+
2
8x3 16x4
2x
+ .. = S(x) = In(2x + 1)
4
3
Transcribed Image Text:7. Using the rules of differential or integration, find the formula for the sum of the following power series: 12x2 4x 1 2 32x3 + ... 4 3 Then determine the sum of the series for x = 1 Hint: the reference series is the series: 4x2 + 2 8x3 16x4 2x + .. = S(x) = In(2x + 1) 4 3
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