Limit not evaluating

Question

I have the following function defined in Maple:

restart;
_local(Psi);

Psi := t -> (t^(-alpha) - 1)/alpha

I want to find the limit of the function as t tends to zero assuming alpha is greater than 0.

(limit(Psi(t), t = 0) assuming (0 < alpha));

However I am getting limit((t^(-alpha) - 1)/alpha, t = 0) which is not the answer. Also I have tried using Psi(0) but I am getting -1/alpha which is again incorrect. The answer is supposed to be infinity.

Answer 1

f := (t^(-alpha) - 1)/alpha:

limit(f, t=0, right) assuming alpha>0;

          infinity