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MHT CET202123 Sep 2021Morning ShiftMathematicsLimitsActual

_ x 1 a b^x-a^x b x^2-1 =

Options

  1. A- ab 2 ( b a )
  2. Bab 2 ( b a )
  3. Ca b ( b a )
  4. D-a b ( b a )

Correct answer

B. ab 2 ( b a )

Step-by-step solution

Let _ x 1 a b^x-a^x b x^2-1 =L aligned & L= _ x 1 (a b^x b )- (a^x a b ) 2 x & = a b b-a b a 2 = a b 2 ( b a ) aligned ... [L' Hospital rule]

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