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

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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.]
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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