21. Which test is inconclusive for this series? A. Integral Test B. p-Series Test C. Comparison Test D. All of the Above E. None of the Above 22. Approximate the curve cos (3x) +2 with a Maclaurin polynomial. A. 2 – 3x) + 2 + (31) + 2 + - 2 4 B. 3 – (3x)² +2+ (3x)² +2+. 2! 4! C. 2 – (39) + - D. E. =1 A B. C. 3. - D. (3x) 21 4! 2 – 3x) + 3x) + - 2! + 23. Write a Taylor Series in summation notation for the function f(x) = centered at x = 1. S L - เง (-1)" 2" ... ... + ... --(x - 1)" (1) 2"+1 (x-1)" (-1)" (2n)! (x-1)" E. 1 x 1) (-) (x - 1) - 2n! ...
21. Which test is inconclusive for this series? A. Integral Test B. p-Series Test C. Comparison Test D. All of the Above E. None of the Above 22. Approximate the curve cos (3x) +2 with a Maclaurin polynomial. A. 2 – 3x) + 2 + (31) + 2 + - 2 4 B. 3 – (3x)² +2+ (3x)² +2+. 2! 4! C. 2 – (39) + - D. E. =1 A B. C. 3. - D. (3x) 21 4! 2 – 3x) + 3x) + - 2! + 23. Write a Taylor Series in summation notation for the function f(x) = centered at x = 1. S L - เง (-1)" 2" ... ... + ... --(x - 1)" (1) 2"+1 (x-1)" (-1)" (2n)! (x-1)" E. 1 x 1) (-) (x - 1) - 2n! ...
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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Question
Solve q23 only
Transcribed Image Text:21. Which test is inconclusive for this series?
A. Integral Test
B. p-Series Test
C. Comparison Test
D.
All of the Above
E. None of the Above
22. Approximate the curve cos (3x) +2 with a Maclaurin polynomial.
-
2
4
B.
A. 2 – 3x) + 2 + (31) + 2 +
3 –
C. 2 – 3x) + 3x) + …….
-
...
=1
D. 3 – (32) + (31)
21
E.
A.
B.
(3x)² +2+ (3x)² +2+.
2!
4!
23. Write a Taylor Series in summation notation for the function f(x) = centered at x = 1.
S
--(x-1)"
C.
+ ...
2-(3x)²+(3x) +
2!
(-1)"
2"
...
(1)
2"+1 (x-1)"
(-1)
(2n)! (x-1)"
...
D.
- x - 1
E. 1 x 1)
2n!
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