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KCET2007MathematicsContinuity and Differentiability

If the function f(x)= array cl 1- x x² , & for x 0 k, & for x=0 array . continuous at x=0 , then the value of k is

Options

  1. A1
  2. B0
  3. C1 2
  4. D-1

Correct answer

C. 1 2

Step-by-step solution

Given, f(x)= array cc 1- x x² , & x 0 k & , x=0 array . Since, x is continuous array ll & _ x 0 f(x)=f(0) & _ x 0 1- x x² =k & _ x 0 -(- x) 2 x =k & 1 2 _ x 0 x x =k & 1 2 1=k k= 1 2 array

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