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Limits Continuity and Differentiability question

2020 · 7 Jan · Shift 2 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 7 Jan · Shift 2 · Q26

Limits Continuity and Differentiability question

2020 · 7 Jan · Shift 2 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If the function ƒ defined on

\left( { - {1 \over 3},{1 \over 3}} \right)

by f(x) =

\left\{ {\begin{matrix} {{1 \over x}{{\log }_e}\left( {{{1 + 3x} \over {1 - 2x}}} \right),} & {when\,x e 0} \\ {k,} & {when\,x = 0} \\ \end{matrix} } \right.

is continuous, then k is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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