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NDA2019MathematicsContinuity and DifferentiabilityActual

For what value of k is the function f(x)= array ccc 2 x+ 1 4 & , & x 0 k & , & x=0 continuous? (x+ 1 2 )^2 & , & x 0 array .

Options

  1. A1 4
  2. B1 2
  3. C1
  4. D2

Correct answer

A. 1 4

Step-by-step solution

f(x)= array cc 2 x+ 1 4 & ; x 0 k & ; x=0 (x+ 1 2 )^2 & ; x 0 array . at x=0 , LHL = 1 4 and RHL = 1 4 Function is continous at x=0 k= 1 4

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