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Question

If f(x)={sin xx+cos x,when x02,when x=0 then
  1. limx0+f(x)2
  2. None of these
  3. limx0f(x)=0
  4. f(x) is continuous at x = 0


Solution

The correct option is D 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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