Limits

22 practice questionsIIT JEE MathematicsStep-by-step solutions

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Evaluate $\lim_{x \to 2} \frac{\sqrt{x+2} - \sqrt{2x}}{x^2 - 4}$ .

\frac{1}{16}

-\frac{1}{8}

-\frac{1}{4}

-\frac{1}{16}

Evaluate $\lim_{x \to 0} \frac{\sqrt{1+x} - 1}{\sin(3x)}$ .

0

\frac{1}{2}

\frac{1}{6}

\frac{1}{3}

Evaluate $\lim_{x \to 0} \frac{\sqrt[3]{1+x} - \sqrt[3]{1-x}}{\sqrt{1+2x} - \sqrt{1-2x}}$ .

A.3

B.0

\frac{1}{3}

D.1

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