1.x(t) is real and odd.

2.x(t) is periodic with period T = 8

3. -9 <= signal <=9

4. $ a_0 = 9 $


answer

it should have a sin wave.

since T = 8,

$ w_0 = \frac {2\pi}{8} $

so,

$ x(t) = 9sin(\frac{\pi}{4}t) $

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett