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Question

Let f(x)={x2+k,whenx0x2k,whenx<0. If the function f (x) be continuous at x = 0, then k =
  1. 0
  2. 1
  3. 2
  4. -2


Solution

The correct option is A 0
Here limx0f(x)=k, limx0f(x)=k and f(0)=k
But f(x)is continuous at x = 0,therefore k must be zero.

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