25-34 Use a Maclaurin series in Table 1 to obtain the Maclaurin series for the given function. 25. f(x) — sin пх 26. f(x) cos(Tx/2) TTX 27. f(x) = e* + e2* 28. f(x) = e* + 2e¯* 29. f(x) = x cos(x2) 30. f(x) = x² In(1 + x³) x² 31. f(x) : 32. f(x) = || || V4 + x? /2 + x 33. f(x) = sin?x Hint: Use sin²x = =¿(1 – cos 2x). .] sin x if x + 0 3 34. f(x) = if x = 0 6.
25-34 Use a Maclaurin series in Table 1 to obtain the Maclaurin series for the given function. 25. f(x) — sin пх 26. f(x) cos(Tx/2) TTX 27. f(x) = e* + e2* 28. f(x) = e* + 2e¯* 29. f(x) = x cos(x2) 30. f(x) = x² In(1 + x³) x² 31. f(x) : 32. f(x) = || || V4 + x? /2 + x 33. f(x) = sin?x Hint: Use sin²x = =¿(1 – cos 2x). .] sin x if x + 0 3 34. f(x) = if x = 0 6.
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
Use a Maclaurin series in Table 1 to obtain the Maclaurin series for the given function.
28) f(x) = e^x + 2e^-x
![25-34 Use a Maclaurin series in Table 1 to obtain the Maclaurin
series for the given function.
25. f(x) — sin пх
26. f(x)
cos(Tx/2)
TTX
27. f(x) = e* + e2*
28. f(x) = e* + 2e¯*
29. f(x)
= x cos(x2)
30. f(x) = x² In(1 + x³)
x²
31. f(x) :
32. f(x) =
||
||
V4 + x?
/2 + x
33. f(x) = sin?x Hint: Use sin²x =
=¿(1 – cos 2x).
.]
sin x
if x + 0
3
34. f(x) =
if x = 0
6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c3d9535-cc5f-4ed6-9f3f-e6cc49f392ef%2Fbb9efc53-ad97-4bfb-a457-b158513377f5%2Fbug2gc_processed.png&w=3840&q=75)
Transcribed Image Text:25-34 Use a Maclaurin series in Table 1 to obtain the Maclaurin
series for the given function.
25. f(x) — sin пх
26. f(x)
cos(Tx/2)
TTX
27. f(x) = e* + e2*
28. f(x) = e* + 2e¯*
29. f(x)
= x cos(x2)
30. f(x) = x² In(1 + x³)
x²
31. f(x) :
32. f(x) =
||
||
V4 + x?
/2 + x
33. f(x) = sin?x Hint: Use sin²x =
=¿(1 – cos 2x).
.]
sin x
if x + 0
3
34. f(x) =
if x = 0
6.
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