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## Homework Statement

Can people help me on these two questions, please.

Q1)

Does f(t) have a Laplace transform F(s) for sufficiently large real value of s, where

f(t) = e

^{t}/(t

^{4}-1).

Q2)

Either find a function f(t) for which F(s) = L{f(t);t→s} = e

^{s}, or explain why no such function f(t) exists.

## Homework Equations

## The Attempt at a Solution

For Q1:

Since there is no such a real constants K s.t f(t)≤ K*f(t), therefore f(t) is not of exponential order. So, Laplace transform does not exist.

For Q2:

My guess for the answer is No but I can't explain it mathematically.

Any help is appreciated!