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

What is the value of k for which the following function f(x) is contin

1.	What is the value of k for which the following function f(x) is continuous for all x? \[f(x)=\left\{ \begin{align} & \frac{{{x}^{3}}-3x+2}{{{(x-1)}^{2}}},for\,\,x\ne 1 \\ & k\,\,\,\,\,\,\,\,,for\,\,x=1 \\ \end{align} \right.\]
A.	3
B.	2
C.	1
D.	-1
Answer» B. 2

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

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