Question

$\underset{x\to 0}{lim}\frac{{\sin }^{2}x}{x\cos x}$ equals

• A. 1
• B. 2
• C. 0
• D. $\frac{1}{2}$

Answer 1

The correct option is C 0

$\underset{x\to 0}{lim}\frac{{\sin }^{2}x}{x\cos x}=\underset{x\to 0}{lim}{\left(\frac{\sin x}{x}\right)}^2.\frac{x}{\cos x}=1^2.\frac{0}{1}=0$