00 wer series representation for g is E (D k=1 e interval of convergence. Select the correct choice below and fill in the answer box to complete your choice. The interval of convergence is (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer. Type your answer in interval notation.) The interval of convergence is {x: x= }. (Simplify your answer. Type an exact answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(1- 18x)2 1(X) =1-18x
Find the power series representation for g centered at 0 by differentiating or integrating the power series for f. Give the interval of convergence for the resulting series.
18
1
g(x) =
00
The power series representation for g is 2
k= 1
Find the interval of convergence. Select the correct choice below and fill in the answer box to complete your choice.
O A. The interval of convergence is.
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer. Type your answer in interval notation.)
O B. The interval of convergence is (x: x = }.
(Simplify your answer. Type an exact answer.)
Transcribed Image Text:(1- 18x)2 1(X) =1-18x Find the power series representation for g centered at 0 by differentiating or integrating the power series for f. Give the interval of convergence for the resulting series. 18 1 g(x) = 00 The power series representation for g is 2 k= 1 Find the interval of convergence. Select the correct choice below and fill in the answer box to complete your choice. O A. The interval of convergence is. (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer. Type your answer in interval notation.) O B. The interval of convergence is (x: x = }. (Simplify your answer. Type an exact answer.)
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