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Limits Continuity and Differentiability question

2022 · 26 Jul · Shift 1 · Q30

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 26 Jul · Shift 1 · Q30

Limits Continuity and Differentiability question

2022 · 26 Jul · Shift 1 · Q30

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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:

A
1
B
$-$ 1
C
e
D
0

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