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MHT CET20227 Aug 2022Morning ShiftMathematicsLimitsActual

_ x 0 ( 1+ x 1+ x )^ cosec x =

Options

  1. A0
  2. B1
  3. Ce
  4. D1 e

Correct answer

B. 1

Step-by-step solution

aligned & _ x 0 ( 1+ x 1+ x )^ cosec x =e^ _ x 0 ( 1+ x 1+ x -1 ) cosec x & =e^ _ x 0 x- x 1+ x 1 x & .=e^ _ x 0 1 x -1 1+ x . & = e ^0=1 & aligned

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