$\lim _{x ightarrow 0}\left(\frac{\sin a x}{ an b x} ight)$ is equal to

Question

$\lim _{x ightarrow 0}\left(\frac{\sin a x}{	an b x}ight)$ is equal to

Aicharya · Accepted Answer

$\lim _{x ightarrow 0}\left(\frac{\sin a x}{	an b x}ight)$ $ \lim _{x ightarrow 0} a\left(\frac{\sin a x}{a x}ight) 	imes \lim _{x ightarrow 0} \frac{1}{\left(\frac{	an b x}{b x}ight) b}=a 	imes \frac{1}{b}=\frac{a}{b} $

$\lim _{x \rightarrow 0}\left(\frac{\sin a x}{\tan b x}\right)$ is equal to

Solution