1) e(x- 2)" 2" n! solution for (T.S): a) e?x b)e* c) e? d) sin 2x

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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Question
1) e(x- 2)"
student
solution for (T.S):
n=0
2" n!
a) e?x
b) et
c) e?
d) sin 2x
2)What are the first four terms of the Taylor series for e* when a = 1?
e- =e+e(x-1) + 늘c(-1)2
A. +e(x- 1)3 +...
e-= = e – e(x – 1) + e(x – 1)?
B. -e(x – 1)3 +...
e = !+(- 1) + (z – 1)2
c + (= – 1)° + ..
c= = !- (x – 1) + (x – 1)?
D- (E – 1)* + ...
|
3)What is the x term in the Taylor expansion for xe* when a = 0?
A) B) C)F DY
4)
What is the fourth term in the Taylor expansion for
1
when a = 1 ?
A)2(1 – 2) B)2(z – 1)° C)(1- z) D )(7- 1)
Transcribed Image Text:1) e(x- 2)" student solution for (T.S): n=0 2" n! a) e?x b) et c) e? d) sin 2x 2)What are the first four terms of the Taylor series for e* when a = 1? e- =e+e(x-1) + 늘c(-1)2 A. +e(x- 1)3 +... e-= = e – e(x – 1) + e(x – 1)? B. -e(x – 1)3 +... e = !+(- 1) + (z – 1)2 c + (= – 1)° + .. c= = !- (x – 1) + (x – 1)? D- (E – 1)* + ... | 3)What is the x term in the Taylor expansion for xe* when a = 0? A) B) C)F DY 4) What is the fourth term in the Taylor expansion for 1 when a = 1 ? A)2(1 – 2) B)2(z – 1)° C)(1- z) D )(7- 1)
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