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NDA2018MathematicsContinuity and DifferentiabilityActual

Consider the function f(x)= array l 2 x 5 x if x 0 2 15 if x=0 array . Which one of the following is correct in respect of the function?

Options

  1. AIt is not continuous at x=0
  2. BIt is continuous at every x
  3. CIt is not continuous at x=
  4. DIt is continuous at x=0

Correct answer

A. It is not continuous at x=0

Step-by-step solution

_ x 0 (2 x) 5 x = _ x 0 (2 x)(2) 5 .(2 x) = 2 5 But at x=0, f(x)= 2 15 Hence, f(x) is not continuous at x=0 .

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