Solve both 48 and 49 please

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve both 48 and 49 please

48) The Taylor Series centered at x = 0 for f(x) = is
(1–x)?
a) Ž(-1)"
2n+1
n=0
b) E(-1)" en)!
n=0
c) E(-1)";
2n+1
(2n+1)!
n=0
d) E nx"-1
n=1
e) None of the above
Transcribed Image Text:48) The Taylor Series centered at x = 0 for f(x) = is (1–x)? a) Ž(-1)" 2n+1 n=0 b) E(-1)" en)! n=0 c) E(-1)"; 2n+1 (2n+1)! n=0 d) E nx"-1 n=1 e) None of the above
Note: For questions 49, 50 and 51 use the fact that
00
cos (u) Σ-1)",
u?n
for all u E R.
(2n)!
n=0
49) If f(x) = x° cos(x³), then T9,0(x) is
a) r³ –
-
2!
b) x6
c) x3
2!
d) xº
e) None of the above
Transcribed Image Text:Note: For questions 49, 50 and 51 use the fact that 00 cos (u) Σ-1)", u?n for all u E R. (2n)! n=0 49) If f(x) = x° cos(x³), then T9,0(x) is a) r³ – - 2! b) x6 c) x3 2! d) xº e) None of the above
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