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MHT CET202019 Oct 2020Morning ShiftMathematicsContinuity and DifferentiabilityActual

If aligned f(x) &= 4 x 5 x for x 0 &=2 k for x=0 aligned is continuous at x=0 , then the value of k is

Options

  1. A2 5
  2. B5
  3. C10
  4. D4 5

Correct answer

A. 2 5

Step-by-step solution

(C) Since f(x) is continuous at x=0 , array l _ x 0 f(x)=f(0) _ x 0 4 x 5 x =2 k _ x 0 ( 4 x x ) 5 =2 k (1) 4 5 =2 k k= 2 5 array

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