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MHT CET20225 Aug 2022Evening ShiftMathematicsContinuity and DifferentiabilityActual

If f ( x )=K+1 , for x=0 is continuous at x=0 , then value of K is

Options

  1. A1
  2. Be ⁻¹
  3. C0
  4. De

Correct answer

C. 0

Step-by-step solution

For continuity at x =0 aligned & _ x 0 f(x)=f(0) _ x 0 ( ^2 x ) ^2 x=K+1 & _ x 0 (1+ ^2 x )^ 1 ^2 x =K+1 & _e=K+1 & 1=K+1 & K=0 aligned

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