lim tan x - x/

Question

x -> 0 x^2

Answer 1

Lim (tanx -x)/x^2 ?
x->0

The limit of the numerator is zero and so is that of the denominator. Use L'Hopital's rule twice

Lim (sec^2x -1)/2x =
x->0

Lim (2 secx*tanx*secx)/2 =
x->0
= 0