Solve this following Question

Question:

Let $f(x)= \begin{cases}(x-1)^{\frac{1}{2-x}}, & x>1, x \neq 2 \\ k & , x=2\end{cases}$

The value of $k$ for which $f$ is continuous at $x=2$ is :

  1. $\mathrm{e}^{-1}$

  2. $\mathrm{e}$

  3. $\mathrm{e}^{-2}$

  4. 1


Correct Option: 1

Solution:

Solution Not Requird

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