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## Homework Statement

Hi, my question is

lim[itex]_{x\rightarrow0}[/itex]x

^{2}[itex]\frac{cos(cot(x))}{sinx}[/itex]

## Homework Equations

## The Attempt at a Solution

I thought maybe I could make [itex]\frac{cos(cot(x))}{sinx}[/itex] similar to [itex]\frac{sinx}{x}[/itex], but couldn't find a proper way for it. Dividing sinx by cosx and multiplying does not take me anywhere, neither does trying to manipulate cotx. Is there something I need to see but cannot see?

L'Hospital and derivatives are not valid solutions since we haven't learnt them yet.Could you please help me find a way? Thanks for any help.