Question #e30a7

1 Answer
Feb 10, 2018

lim_(x->0)(1-cos(2x))/(1-tan(2x))=0

Explanation:

We want to solve

lim_(x->0)(1-cos(2x))/(1-tan(2x)

Plugging in x=0 doesn't leave to an indeterminate form

Therefore

lim_(x->0)(1-cos(2x))/(1-tan(2x))=(1-cos(2*0))/(1-tan(2*0))=(1-1)/(1-0)=0