If the function f defined as f(x)

Question:

If the function $\mathrm{f}$ defined as $\mathrm{f}(\mathrm{x})=\frac{1}{\mathrm{x}}-\frac{\mathrm{k}-1}{\mathrm{e}^{2 \mathrm{x}}-1}, \mathrm{x} \neq 0$, is continuous at $\mathrm{x}=0$, then the ordered pair $(k, f(0))$ is equal to :

  1. $\left(\frac{1}{3}, 2\right)$

  2. $(3,2)$

  3. $(2,1)$

  4. $(3,1)$


Correct Option: 4,

Solution:

Solution Not Required

 

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