Find each limit:

Question

(a) lim x->1 (ln(x)+2x-2)/(x^2-1)

(b) lim x->infinity (x^2)/(e^x)

Answer 1

by l'Hospital,

(a) -> (1/x + 2)/(2x) -> 3/2

(b) -> 2x/e^x -> 2/e^x -> 0