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COMEDK2014MathematicsContinuity and Differentiability

If f(x)= array cc [x]+[-x], & x 2 K, & x=2 array . , then f(x) is continuous at x=2 , provided K is equal to

Options

  1. A2
  2. B1
  3. C-1
  4. D0

Correct answer

C. -1

Step-by-step solution

f(x)= array cc [x]+[-x], & x 2 K, & x=2 array . Since, f(x) is continuous at x=2 _ x 2⁻ f(x)= _ x 2⁺ f(x)=f(2) Now, _ x 2⁻ f(x)= _ x 2 [x]+[-x]=1+(-2)=-1 _ x 2⁺ f(x)= _ x 2⁺ [x]+[-x]=2-3=-1 K=-1

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