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Question

If f(x)=⎪ ⎪⎪ ⎪x1,x<014,x=0x2,x>0, then

A
limx0+f(x)=1
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B
limx0f(x)=1
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C
f(x) is discontinuous at x = 0
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D
None of these
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Solution

The correct option is C f(x) is discontinuous at x = 0
Clearly from curve drawn of the given function we can say that f(x)is discontinuous at x = 0

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