COMEDK2013MathematicsContinuity and Differentiability

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

Options

A0
B1 2
C1 4
D- 1 2

Correct answer

A. 0

Step-by-step solution

We have, f(x)= cases 1- x x , & x 0 k, & x=0 cases Since, f(x) is continuous~at~ x=0 f(0)= _ x 0 f(x) k= _ x 0 1- x x k= _ x 0 2 2(x / 2) x k= _ x 0 (x / 2) (x / 2) (x / 2) k=0 Since, f(x) is continuous at x=0

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