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?