100 62) [T] Plot the series > n=1 behave for other x? cos(2πnx) n for 0

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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62 please

The alternating series in exercises 58 & 59 converge to given multiples of T. Find the value of N predicted by the
remainder estimate such that the Nth partial sum of the series accurately approximates the left-hand side to within
the given error. Find the minimum N for which the error bound holds, and give the desired approximate value in
each case. Up to 15 decimals places, π = 3.141592653589793....
58 LI
Answer
0
ST] If
60) T The series
12 t
N
Answer
2n+
n=1
sin(x + n)
i + Th
(Hint: Use the formula for the sine of sum of angles)
∞
62) [T] Plot the series
behave for other x?
n
100
error <0.0001
n=1
0.0001
plays an important role in signal processing show that
2, what is 1+
cos(2πnx)
n
for 0 < x < 1. Explain why
100
n=1
cos(2πnx)
n
10
sin(x + n)
converges whenever
diverges when x = 0, 1. How does the series
Transcribed Image Text:The alternating series in exercises 58 & 59 converge to given multiples of T. Find the value of N predicted by the remainder estimate such that the Nth partial sum of the series accurately approximates the left-hand side to within the given error. Find the minimum N for which the error bound holds, and give the desired approximate value in each case. Up to 15 decimals places, π = 3.141592653589793.... 58 LI Answer 0 ST] If 60) T The series 12 t N Answer 2n+ n=1 sin(x + n) i + Th (Hint: Use the formula for the sine of sum of angles) ∞ 62) [T] Plot the series behave for other x? n 100 error <0.0001 n=1 0.0001 plays an important role in signal processing show that 2, what is 1+ cos(2πnx) n for 0 < x < 1. Explain why 100 n=1 cos(2πnx) n 10 sin(x + n) converges whenever diverges when x = 0, 1. How does the series
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