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MHT CET202014 Oct 2020Evening ShiftMathematicsContinuity and DifferentiabilityActual

If the function f(x)= 10+ (0.1+2 x) 2 x if x 0=k if x=0 is continuous at x=0 , then k+2=

Options

  1. A2
  2. B10
  3. C12
  4. D11

Correct answer

C. 12

Step-by-step solution

_ x 0 10+ (0.1+2 x) 2 x =k _ x 0 (1+20 x) 2 x =k _ x 0 (1+20 x)^ 1 2 x =k _ x 0 [(1+20 x)^ 1 20 x ]¹⁰=k e¹⁰=k k=10 k+2=10+2=12

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