Problem 5. Determine if the CTFTs exist for the following functions: (a) $f(t) = e^{-at}u(t)$ (b) $g(t) = e^{-at}$ (c) $h(t) = cos(\omega_0t)$
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The function f(t) = e^(-at)u(t) is a product of two functions: e^(-at) and u(t), where e^(-at) is an exponential function and u(t) is the unit step function. The exponential function e^(-at) is a well-behaved function and satisfies the conditions for the Show more…
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