For the 2-periodic function f(t)=√1-t², -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 37RE
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For the 2-periodic function
f(t)=√1-t²,
-1<t<1,
f(t+2) = f(t),
which of the following statements is true about the Fourier series for f(t)?
Select one:
a. The Fourier series of f(t) converges to f(t) for all t.
b. an=0 for all n.
= 0 for all n.
c. bn
d. Gibbs phenomena is present in the Fourier series of f(t).
e.
(a) and (c)
f.
(b) and (d)
Transcribed Image Text:For the 2-periodic function f(t)=√1-t², -1<t<1, f(t+2) = f(t), which of the following statements is true about the Fourier series for f(t)? Select one: a. The Fourier series of f(t) converges to f(t) for all t. b. an=0 for all n. = 0 for all n. c. bn d. Gibbs phenomena is present in the Fourier series of f(t). e. (a) and (c) f. (b) and (d)
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