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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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