Question

lim x tends to 0 (sin(2x)/coa3x))

Answer 1

$\huge \bold { \mathfrak{Answer }} \color{green}\mathcal{ \: = 0}$

$lim _{x \rightarrow \: 0} \frac{ \sin(2x) }{ \cos(3x) }$

$\small\because \: lim _{x \rightarrow0}\sin(2x) = \sin(2 \times 0) = 0 \\ \: and \: lim _{x \rightarrow0} \cos(3x) = \cos(0) = 1$

$lim _{x \rightarrow0} \frac{ \sin(2x) }{ \cos(3x) } = \frac{0}{1} = \huge \bold \color{green}0$

Hope it helps