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It is known that the signal x(t) = t2/4 for -π < t <π with a period of 2π. a) Provide a sketch of the above cues, at least for the range -3π < t < 3π b) Find the Fourier series representation of the sign above in the expansion using the basis of Trigonometric functions. c) From the result in number b determine the value of the following series1 – (1/4) + (1/9) –(1/16) + (1/25)+- ... = .... d) From the result in number b determine the value of the following series1 + (1/4) + (1/9) + (1/16) + (1/25) +... = ....

It is known that the signal x(t) = t2/4 for -π < t <π with a period of 2π. a) Provide a sketch of the above cues, at least for the range -3π < t < 3π b) Find the Fourier series representation of the sign above in the expansion using the basis of Trigonometric functions. c) From the result in number b determine the value of the following series1 – (1/4) + (1/9) –(1/16) + (1/25)+- ... = .... d) From the result in number b determine the value of the following series1 + (1/4) + (1/9) + (1/16) + (1/25) +... = ....

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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It is known that the signal x(t) = t2/4 for -π < t <π with a period of 2π.

a) Provide a sketch of the above cues, at least for the range -3π < t < 3π

b) Find the Fourier series representation of the sign above in the expansion using the basis of Trigonometric functions.

c) From the result in number b determine the value of the following series1 – (1/4) + (1/9) –(1/16) + (1/25)+- ... = ....

d) From the result in number b determine the value of the following series1 + (1/4) + (1/9) + (1/16) + (1/25) +... = ....

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