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Question

If f(x)={sin xx+cos x,when x≠02,when x=0 then

A
limx0+f(x)2
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B
limx0f(x)=0
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C
f(x) is continuous at x = 0
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D
None of these
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Solution

The correct option is C f(x) is continuous at x = 0
f(0+) = f(0-) = 2 and f(0) = 2
Hence f(x)is continuous at x = 0

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