Question

Find the limit if it exists.
lim x-> 0 csc3x/cotx

Answer 1

did you rewrite using sines and cosines?

Answer 2

should get \[\frac{\sin(x)}{\sin(3x)\cos(x)}\] and you don't have to think about the cosine, because \(\cos(0)=1\) so it is a matter of finding
\[\lim_{x\to 0}\frac{\sin(x)}{\sin(3x)}\]