What is the value of k for which the following function f(x) is continuous for all x?
\(\rm f(x)=\left\{\begin{matrix}\rm \frac{x^3-3x+2}{(x-1)^2},&\rm for\ x\ne1\\\ \rm k&\rm for\ x = 1\end{matrix}\right.\)
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What is the value of k for which the following function f(x) is continuous for all x?
\(\rm f(x)=\left\{\begin{matrix}\rm \frac{x^3-3x+2}{(x-1)^2},&\rm for\ x\ne1\\\ \rm k&\rm for\ x = 1\end{matrix}\right.\)