# Finding the limit of a trig function

by lLovePhysics
Tags: function, limit, trig
 P: 167 I'm stuck on this limit function and I don't know what to do next. Please help me out. Thanks! $$\lim_{x\rightarrow 0^{+}}(\frac{\csc2x}{x})$$ I just turned csc2x into 1\sin2x so then I have: $$\lim_{x\rightarrow 0^{+}} (\frac{1}{x\sin2x})$$ Then I used the trig identity: sin2x=2sinxcosx ...but I'm not sure if this is going to take me anywhere. I know that $$\lim_{x\rightarrow c} \sin x = \sin c$$ but I'm not sure how to incoporate that identity in this problem.