Q. Lim x->0 (Cos2x-1)/(cosx-1)

Q. lim x->pi/2 (tan2x)/(x-pi/2)
Can we solve the above questions with L Hospital rule if yes please solve the above questions with L Hospital rule
and if no why no.. (answer for both the questions is 4).. Please help me to solve because I am not able to match my answer with this method..

Yes you can solve these both with l'Hospital's rule.

Are you able to get 4 for the first question? You have to apply l'Hospital's twice to make it work. As for the second one - it's a little easier because you apply l'Hospital's only once, but the answer is not 4.

Is the answer for 2nd is 2??

Is the answer for 2nd is 2???

Yes - very good!