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JEE Math Practice Question

Let f(x) = $$\left\{ {\begin{matrix} {{{\left( {x - 1} \right)}^{{1 \over {2 - x}}}},} & {x > 1,x \ne 2} \\ {k\,\,\,\,\,\,\,\,\,\,\,\,\,\,} & {,x = 2} \\ \end{matrix} } \right.$$ Thevaue of k for which f s continuous at x = 2 is :

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

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