Let \[f(x)=\left\{ \begin{align} & \frac{{{x}^{3}}+{{x}^{2}}-16x+20}{{{(x-2)}^{2}}},\text{if}\ x\ne 2 \\ & \ \ \ \ \ \,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \,\ k,\ \text{if}\ x=2 \\ \end{align} \right.\]. If \[f(x)\] be continuous for all x, then k = [IIT 1981]

Let \[f(x)=\left\{ \begin{align} & \frac{{{x}^{3}}+{{x}^{2}}-16x+20

1.	Let \[f(x)=\left\{ \begin{align} & \frac{{{x}^{3}}+{{x}^{2}}-16x+20}{{{(x-2)}^{2}}},\text{if}\ x\ne 2 \\ & \ \ \ \ \ \,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \,\ k,\ \text{if}\ x=2 \\ \end{align} \right.\]. If \[f(x)\] be continuous for all x, then k = [IIT 1981]
A.	7
B.	?7
C.	\[\pm 7\]
D.	None of these
Answer» B. ?7

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Let \[f(x)=\left\{ \begin{align} & \frac{{{x}^{3}}+{{x}^{2}}-16x+20}{{{(x-2)}^{2}}},\text{if}\ x\ne 2 \\ & \ \ \ \ \ \,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \,\ k,\ \text{if}\ x=2 \\ \end{align} \right.\]. If \[f(x)\] be continuous for all x, then k = [IIT 1981]

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