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Limits Continuity and Differentiability question

2018 · 15 Apr · Shift 2 · Q43

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JEE Main
Mathematics
Limits Continuity and Differentiability
2018 · 15 Apr · Shift 2 · Q43

Limits Continuity and Differentiability question

2018 · 15 Apr · Shift 2 · Q43

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let f(x) =

\left\{ {\begin{matrix} {{{\left( {x - 1} \right)}^{{1 \over {2 - x}}}},} & {x \gt 1,x e 2} \\ {k\,\,\,\,\,\,\,\,\,\,\,\,\,\,} & {,x = 2} \\ \end{matrix} } \right.

Thevaue of k for which f s continuous at x = 2 is :

A
1
B
e
C
e-1
D
e-2

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