Determine the value of the constant `k` so that the function `f(x)={(x^2-3x+2)/(x-1),\ \ \ if\ x!=1k ,\ \ \ if\ x=1` is continuous at `x=1` .

Explanation

`f(x)=
frac{x^{2}-3 x+2}{x-1}, i f x neq 1
k, i f x=1`



`f(x)` is continuous at `x=1`, then,



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


`lim _{x rightarrow 1} frac{x^{2}-3 x+2}{x-1}=k `


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