Question

find the limit as x approaches pi of sqrt(x)/csc(x)

Answer 1

\[\lim_{x \rightarrow \pi}\frac{ \sqrt{x} }{ \csc(x) }\]

Answer 2

is it in the form \(\frac{0}{0}\)?

Answer 3

always plug in first to see what you get before continuing

Answer 4

truth is i wouldn't even do that as a first step
i would rewrite it as
\[\lim_{x\to \pi}\sqrt{x}\sin(x)\]

Answer 5

well then I get that the answer is 0 because sin(pi) is 0

Answer 6

is there no simplifying after that? is the answer just 0?

Answer 7

yup