If (- \frac{1}{x^{2}}), then | MATH - LIMITS | SolveeIt

If $- \frac{1}{x^{2}}$ , then

$\lim_{x \rightarrow 0}\frac{\sqrt{1 - x^{2}} - \sqrt{1 + x^{2}}}{x^{2}}$

$\lim_{x \rightarrow 3}\frac{x - 3}{\sqrt{x - 2} - \sqrt{4 - x}}$

$\frac{3}{2}$ is discontinuous at $\frac{1}{4}$

None of these

Answer

$\frac{3}{2}$ is discontinuous at $\frac{1}{4}$

Explanation

Clearly from curve drawn of the given function $f ( x )$ , it is discontinuous at $x = 0$ .

Question: If \(- \frac{1}{x^{2}}\), then...