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Use the power series f(x) = In (1-x) = -Σ, for - 1

Use the power series f(x) = In (1-x) = -Σ, for - 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the power series f(x) = In (1-x) = - k=1 function (centered at 0). Give the interval of convergence of the new series. f(7x)= In (1-7x) O A. ∞ Which of the following is the power series representation for f(7x)? C. Σ In (1-(7x)*) k=1 - ∞ k=1 -, for 1 ≤x< 1, to find the power series representation for the following k (7x)k k B. O D. The interval of convergence is. (Simplify your answer. Type your answer in interval notation.) IM8 M8 k=1 · Σ k=1 7k X' k 7xk k
Transcribed Image Text:Use the power series f(x) = In (1-x) = - k=1 function (centered at 0). Give the interval of convergence of the new series. f(7x)= In (1-7x) O A. ∞ Which of the following is the power series representation for f(7x)? C. Σ In (1-(7x)*) k=1 - ∞ k=1 -, for 1 ≤x< 1, to find the power series representation for the following k (7x)k k B. O D. The interval of convergence is. (Simplify your answer. Type your answer in interval notation.) IM8 M8 k=1 · Σ k=1 7k X' k 7xk k
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