Question

If the function $f(x)= \begin{cases} \frac{\log _e\left(1-x+x^2\right)+\log_e\left(1+x+x^2\right)}{\sec x-\cos x}, x \in\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)-\\{0\\} \\\k, \,\,\,\,\, x=0\end{cases}$ is continuous at $x=0$, then $k$ is equal to :

• A. 1
• B. -1
• C. e
• D. 0

Answer 1

Answer: (A)

1

Answer 2

The correct option is (A): 1