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Question

f(x)=2x1ifx>2kifx=2x21ifx<2is continuous at x=2 then k=

A
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2
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C
3
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4
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Solution

The correct option is C 3
Since, the function is continuous at x = 2,
limx2f(x)=f(2)=limx2+f(x)
limx22x1=f(2)=limx2+x21
k = 3
Hence, k = 3

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