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For what value of `k` is the function `f(x)={(x^2-1)/(x-1),\ \ \ x!=1k ,\ \ \ x=1` continuous at `x=1` ?

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Given,

`f(x) frac{x^{2}-1}{x-1}, x equiv 1 k, x=1`

Since `f(x)` is continuous at `x=1`.

Therefore,

`lim _{x rightarrow 1} f(x)=f(1)`

`Rightarrow lim _{x rightarrow 1} frac{x^{2}-1}{x-1}=k`

...
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