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MHT CET202020 Oct 2020Morning ShiftMathematicsLimitsActual

If f (x)= ( 2^ x -1 1-3^ x ) , for x 0 is continuous at x=0 , then f (0)=

Options

  1. A3
  2. B-( 2) ( 3)
  3. C( 2) ( 3)
  4. D- 2

Correct answer

B. -( 2) ( 3)

Step-by-step solution

f(0)= _ x 0 2^ x -1 - (3^ x -1 ) =- _ x 0 2^ x -1 x _ x 0 3^ x -1 x = - 2 3 f(0)= _ x 0 2^ x -1 - (3^ x -1 ) =- _ x 0 2^ x -1 x _ x 0 3^ x -1 x = - 2 3

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