Question

${lim}_{x\to 0}\frac{si{n}^{2}x}{x}$ is equal to

• A. 0
• B. $\infty$
• C. 1
• D. -1

Answer 1

The correct option is A 0

Given , ${lim}_{x\to 0}\frac{si{n}^{2}x}{x}={lim}_{x\to 0}x\times \frac{si{n}^{2}x}{x^2}$

= $\left({lim}_{x\to 0}x\right){lim}_{x\to 0}{\left(\frac{sinx}{x}\right)}^2$

=$0\times$ 1${}^2=0$