Evaluate the limit.

We use the trig identity and then use L’Hopital’s rule to evaluate,

Skip to content
#
Stumbling Robot

A Fraction of a Dot
#
Compute the limit of the given function

###
2 comments

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Evaluate the limit.

We use the trig identity and then use L’Hopital’s rule to evaluate,

My understanding is that the book has not proved to use the L’Hopital’s rule when the indeterminate form is ∞/∞. You need to show that the equation is lim x -> π 1/((log 2)/(log (sin x))+1+log(cos x)/log (sin x))

I agree, my solution is to set t = |sin(x)| and note that t->0+ when x->pi and then apply L’Hopital.