Question 34 please

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 34 please
29. Prove that the series obtained in Exercise 17 represents sinhx for all x .
30. Prove that the series obtained in Exercise 18 represents cosh x for all x.
31, 32, 33 and 34 Use the binomial series to expand the function as a power series. State
the radius of convergence.
31. 1-x
32. 8+x
33.
SHOW ANSWER
1
Maclounin
(2+x)³
SHOW ANSWER
34. (1-x) ³/4
35, 36, 37, 38, 39, 40, 41, 42, 43 and 44 Use a Maclaurin series in Table 1 to obtain the
Transcribed Image Text:29. Prove that the series obtained in Exercise 17 represents sinhx for all x . 30. Prove that the series obtained in Exercise 18 represents cosh x for all x. 31, 32, 33 and 34 Use the binomial series to expand the function as a power series. State the radius of convergence. 31. 1-x 32. 8+x 33. SHOW ANSWER 1 Maclounin (2+x)³ SHOW ANSWER 34. (1-x) ³/4 35, 36, 37, 38, 39, 40, 41, 42, 43 and 44 Use a Maclaurin series in Table 1 to obtain the
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