JEE Math Practice Question

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

1. A.1
2. B.$$-$$1
3. C.e
4. D.0