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MHT CET2008MathematicsContinuity and Differentiability

If f(x)= array cl x 1 x & , x 0 k & , x=0 array . is continuous at x=0 , then the value of k is

Options

  1. A1
  2. B-1
  3. C0
  4. D2

Correct answer

C. 0

Step-by-step solution

If function f(x) is continuous at x=0 , then f(0)= _ x 0 f(x) Given, f(0)=k array ll f(0)=k= _ x 0 x 1 x k=0 ( -1 1 x 1 ) array

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