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MHT CET202411 May 2024Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let f (x)= array cc 1- 4 x x^2 & , x 0 a & , x=0 2 16+ x-4 & , x 0 . array . If f (x) is continuous at x=0 , then the value of a is

Options

  1. A8
  2. B4
  3. C1 2
  4. D2

Correct answer

A. 8

Step-by-step solution

array ll & f (x) is continuous at x=0 . & f (0)= _ x 0⁻ f (x) & a = _ x 0⁻ 1- 4 x x^2 & = _ x 0⁻ 2 ^2 2 x x^2 & =2 _ x 0⁻ ^2 2 x (2 x)^2 4=2(1)^2 4=8 array

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