Determine $\displaystyle\lim_{x\to 0}\frac{\sqrt{1+\tan^{2}x}-1}{x^{2}}$ . a) 1 b) 0 c) \df…

Mathematics

Problem

Determine

\displaystyle\lim_{x\to 0}\frac{\sqrt{1+\tan^{2}x}-1}{x^{2}}

. a) 1 b) 0 c) \dfrac{1}{2} d) \text{The limit does not exist}