Hi,

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...