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KCET2025MathematicsContinuity and Differentiability

A function is f(x)= array cc e^ 1 x -1 e^ 1 x +1 , & if x 0 0, & if x=0 array .

Options

  1. Acontinuous at x =0
  2. Bnot continuous at x =0
  3. Cdifferentiable at x =0
  4. Ddifferentiable at x =0 , but not continuous at x =0

Correct answer

B. not continuous at x =0

Step-by-step solution

f(x)= array cc e^ 1 x -1 e^ 1 x +1 & , x 0 0 & , x=0 array . LHL =-1 , RHL =1 , Not continuous.

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