$\underset{x→∞}{\lim}\sqrt{\frac{x+\sin x}{x-\cos x}}$ is equal to
Answer & explanation
Correct answer: option 2
$\underset{x→∞}{\lim}\sqrt{\frac{x+\sin x}{x-\cos x}}=\underset{x→∞}{\lim}\sqrt{\frac{1+\frac{\sin x}{x}}{1-\frac{\cos x}{x}}}=\underset{x→∞}{\lim}\sqrt{1}=1$