It's again prbls w/ l'Hospital rule.

omg, my calc prof. assigned like 50 prbls but i had to study for my other finals. these are due today at 9. plz help.

1) lim(1+e^x)^(1/x)

x->infinity

"infinity^0" type?

=e^lim (1/x)ln(1+e^x)

2)lim (1+(3/x^2)^x

x->infinity

"1^infinity" type

=e^ilm x ln(1+3/x^2)

3) lim x sin x/ (1-cos x)

this one i have no idea what to do.

plz help me so that i can just get some sleep. it's already 4 in the morning.