10. Suppose f is a periodic function of period 27 which belongs to the class C*. Show that f(n) = 0(1/\n|*) as |n| → 0o. This notation means that there exists a constant C such |ƒ(n)| < C/\n|*. We could also write this as |n|* f(n) = 0(1), where O(1) means bounded. [Hint: Integrate by parts.] %3D
10. Suppose f is a periodic function of period 27 which belongs to the class C*. Show that f(n) = 0(1/\n|*) as |n| → 0o. This notation means that there exists a constant C such |ƒ(n)| < C/\n|*. We could also write this as |n|* f(n) = 0(1), where O(1) means bounded. [Hint: Integrate by parts.] %3D
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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![10. Suppose f is a periodic function of period 27 which belongs to the class C*.
Show that
f(n) = 0(1/\n|*) as |n| → 0o.
This notation means that there exists a constant C such |f(n)| < C/\n|*. We
could also write this as |n|* f(n) =0(1), where O(1) means bounded.
[Hint: Integrate by parts.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F833481a2-df8c-4805-95a2-f24b64ba619f%2F730add14-4caa-4f93-877c-779489982b09%2F9ay3wmp_processed.png&w=3840&q=75)
Transcribed Image Text:10. Suppose f is a periodic function of period 27 which belongs to the class C*.
Show that
f(n) = 0(1/\n|*) as |n| → 0o.
This notation means that there exists a constant C such |f(n)| < C/\n|*. We
could also write this as |n|* f(n) =0(1), where O(1) means bounded.
[Hint: Integrate by parts.]
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