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MHT CET202312 May 2023Evening ShiftMathematicsContinuity and DifferentiabilityActual

Given f (x)= array cc 1- 4 x x^2 & , if x 0 array . If f (x) is continuous at x=0 , then value of a is

Options

  1. A-8
  2. B2
  3. C-2
  4. D8

Correct answer

D. 8

Step-by-step solution

As f (x) is continuous at x=0 , we get array ll & _ x 0⁻ f (x)= a = _ x 0⁺ f (x) & _ x 0⁻ f (x)= a & _ x 0 1- 4 x x^2 = a & _ x 0 4 2 ^2 2 x (2 x)^2 = a & 8= a array

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