If \[f(x)=\left\{ \begin{matrix} \frac{{{x}^{2}}-9}{x-3}\,, & \text{if }x\ne 3 \\ 2x+k\,, & \text{otherwise} \\ \end{matrix} \right.\], is continuous at \[x=3,\] then \[k=\] [Kerala (Engg.) 2002]

If \[f(x)=\left\{ \begin{matrix} \frac{{{x}^{2}}-9}{x-3}\,, & \te

1.	If \[f(x)=\left\{ \begin{matrix} \frac{{{x}^{2}}-9}{x-3}\,, & \text{if }x\ne 3 \\ 2x+k\,, & \text{otherwise} \\ \end{matrix} \right.\], is continuous at \[x=3,\] then \[k=\] [Kerala (Engg.) 2002]
A.	3
B.	0
C.	?6
D.	1/6
Answer» C. ?6

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If \[f(x)=\left\{ \begin{matrix} \frac{{{x}^{2}}-9}{x-3}\,, & \text{if }x\ne 3 \\ 2x+k\,, & \text{otherwise} \\ \end{matrix} \right.\], is continuous at \[x=3,\] then \[k=\] [Kerala (Engg.) 2002]

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