## Proving Indeterminate Forms can equal an arbitrary constant

I'm supposed to find functions f(x) and g(x) so that their individual limits (respectively) are infinity and 0, and yet the limit of f(x) ^g(x) = an arbitrary constant (for my purposes 37)

I'm supposed to do the same with f(x) = 1 and g(x) = infinity

I saw the proofs for the other indeterminate forms, but I have NO idea where to start with these...any thoughts?

Thanks,

-B