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COMEDK2012MathematicsLimits

If f(x)= array ll e^ x -1 4 x & for x 0 k+x 4 & for x=0 array . is continuous at x=0 , then k=

Options

  1. A5
  2. B3
  3. C2
  4. D0

Correct answer

B. 3

Step-by-step solution

f(x) is continuous at x=0 aligned & So, _ x 0 f(x)=f(0) & _ x 0 e^ 3 x-1 4 x = k+0 4 & 1 4 _ x 0 3 ( e^ 3 x -1 3 x )= k 4 & 3 _ x 0 e^ 3 x -1 3 x =k 3 1=k k=3 aligned

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