3. f(x) = cos x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you solver for 13 and 15 please

 

11-18 Find the Maclaurin series for f(x) using the definition of
a Maclaurin series. [Assume that f has a power series expansion.
Do not show that R, (x) → 0.] Also find the associated radius of
convergence.
11. f(x) = (1 x)-²
13. f(x) = COS X
15. f(x) = 2*
17. f(x) =
=
sinh x
12. f(x) = ln(1 + x)
14. f(x) = e-2x
16. f(x) = X COS X
18. f(x) = cosh x
Transcribed Image Text:11-18 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R, (x) → 0.] Also find the associated radius of convergence. 11. f(x) = (1 x)-² 13. f(x) = COS X 15. f(x) = 2* 17. f(x) = = sinh x 12. f(x) = ln(1 + x) 14. f(x) = e-2x 16. f(x) = X COS X 18. f(x) = cosh x
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