18) If f(x) = xª cos (x³), then f(10) (0) = –10!. а) True b) False 19) Suppose that f(x) is such that its Taylor series EO" converges for all x E R. n=0 Then flw) (0), f(x) = n! n=0 for all x E R. а) True b) False

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 18 and 19 please

18) If f(x) = xª cos (x³), then f(10) (0) = –10!.
а) True
b) False
19) Suppose that f(x) is such that its Taylor series EO" converges for all x E R.
n=0
Then
flw) (0),
f(x) =
n!
n=0
for all x E R.
а) True
b) False
Transcribed Image Text:18) If f(x) = xª cos (x³), then f(10) (0) = –10!. а) True b) False 19) Suppose that f(x) is such that its Taylor series EO" converges for all x E R. n=0 Then flw) (0), f(x) = n! n=0 for all x E R. а) True b) False
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