Identify the function which represents a non- | vedclass

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(A) periodic function is one that repeats its values at regular intervals of time. Functions like $\sin \omega t$,$\cos \omega t$,and their linear com

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$e^{-\omega t}$

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(A) periodic function is one that repeats its values at regular intervals of time. Functions like $\sin \omega t$,$\cos \omega t$,and their linear combinations are periodic because they repeat their values after a time period $T = 2\pi / \omega$. The function $f(t) = e^{-\omega t}$ is an exponential decay function. As $t$ increases,$e^{-\omega t}$ decreases monotonically and approaches zero as $t 	o \infty$. Since it never repeats its values,it represents a non-periodic motion.

Identify the function which represents a non-periodic motion.

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