You could try transforming into something more familiar.
This is a famous limit which converges to e
For this problem, lim x->1 x^(1/(x-1))
the answer is e, but i got the answer -1. could someone show me the steps. thanks.
Oh yes, this problem also,
lim x-> infinity xtan(1/x)
so far, I did this: lim x-> infinity x(-1/x^2 sec^2(1/x)) + tan(1/x)(1)
= lim x-> infinity -1/x sec^2(1/x) + tan(1/x)
all i did was take derivative, but not sure what to do next or maybe i started off wrong...