Answer:
[tex]$\lim _{x \rightarrow 0}\left(\frac{\sin x^{2} x}{x}\right)$[/tex][tex]=0[/tex]
Explanation:
Given:
[tex]$\lim _{x \rightarrow 0}\left(\frac{\sin x^{2} x}{x}\right)$[/tex]
To solve the limit
[tex]$\lim _{x \rightarrow 0}\left(\frac{\sin x^{2} x}{x}\right)$[/tex][tex]=$\lim _{x \rightarrow 0}(\sin x^{2})$[/tex]
The limit x approaches 0.
[tex]=\sin \left(0^2\right)[/tex]
[tex]=0[/tex]
Learn more about limit, refer: