1). Iff(x) = ∞ n = 0 xn n!and g(x) = ∞ n = 0(−1)n xn n!, find the power series of 1 2(f(x) + g(x))
1). Iff(x) = ∞ n = 0 xn n!and g(x) = ∞ n = 0(−1)n xn n!, find the power series of 1 2(f(x) + g(x))
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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1). Iff(x) =
∞ | |
n = 0 |
xn |
n! |
g(x) =
(−1)n
,
find the power series of
∞ | |
n = 0 |
xn |
n! |
1 |
2 |
1 |
2 |
1 |
2 |
∞ | |
n = 0 |
1 |
2 |
∞ | |
n = 0 |
please show step by step clearly
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