L'Hopital problem help!?

Question

evaluate the limit as x approaches 0 from the right of [log(1-cosx)]/(logx)

Answer 1

Put x = 0 in the above limit .

Apply L -hospital rule.

Now put x = 0 in the above limit

Apply L - hospital rule

Put x = 0 in the above limit

Apply L - hospital rule 

put x = 0 in the above limit

So the limit     .