Hi. I have this problem I am quite unsure of.

For which complex values of is the Laplace Transform of defined?

What I did was simplified it and had it as

And from the L.T definitions, as t approaches infitinty, the function should converge to zero.

So is it right by saying and hence ? But then again, if I take the limit of it doesn't converge zero, rather it is undefined.

Thanks for your help.

Thanks.