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Q6. n r with convergence in (-1, 1), T In the following exercises, given that 1-x n=0 find the power series for each function and identify its interval of convergence. 7x-1 (a) f (x) = 3x²+2x-1 Hint for (a): present the rational function in terms of partial functions. (b) f(x) = ln (1+x¹). Hint for (b): use term-by-term differentiation or integration to find power series for this function.

Q6. n r with convergence in (-1, 1), T In the following exercises, given that 1-x n=0 find the power series for each function and identify its interval of convergence. 7x-1 (a) f (x) = 3x²+2x-1 Hint for (a): present the rational function in terms of partial functions. (b) f(x) = ln (1+x¹). Hint for (b): use term-by-term differentiation or integration to find power series for this function.

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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Q6. n= ∞ 1 1 X n=0 find the power series for each function and identify its interval of convergence. 7x-1 (a) f (x) = 3x²+2x-1 Hint for (a): present the rational function in terms of partial functions. (b) f (x) = ln (1+x¹). In Hint for (b): use term-by-term differentiation or integration to find power series for this function. In the following exercises, given that x" with convergence in (-1, 1),
Transcribed Image Text:Q6. n= ∞ 1 1 X n=0 find the power series for each function and identify its interval of convergence. 7x-1 (a) f (x) = 3x²+2x-1 Hint for (a): present the rational function in terms of partial functions. (b) f (x) = ln (1+x¹). In Hint for (b): use term-by-term differentiation or integration to find power series for this function. In the following exercises, given that x" with convergence in (-1, 1),
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