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Question

If f(x)=4x,x<01,x=03x2,x>0 then limx0f(x) equals

A
0
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B
1
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C
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D
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Solution

The correct option is C 0
Left hand limit, L=limx0f(x)=4.(0)=0
and Right hand limit, L+=limx0+f(x)=3.(0)2=0
Hence Required limit is =limx0f(x)=L+=L=0

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