Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

$\underset{x→∞}{\lim}\sqrt{\frac{x+\sin x}{x-\cos x}}$ is equal to

Options:

0

1

-1

none of these

Correct Answer:

1

Explanation:

$\underset{x→∞}{\lim}\sqrt{\frac{x+\sin x}{x-\cos x}}=\underset{x→∞}{\lim}\sqrt{\frac{1+\frac{\sin x}{x}}{1-\frac{\cos x}{x}}}=\underset{x→∞}{\lim}\sqrt{1}=1$