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AP EAMCET202022 Sep 2020Evening ShiftMathematicsLimitsActual

_ x 0 (1+ x 2 )^ 5 / 7 -1 x =

Options

  1. A5 7
  2. B10 7
  3. C5 14
  4. D5 17

Correct answer

C. 5 14

Step-by-step solution

_ x 0 (1+ x 2 )^ 5 / 7 -1 x Here, Limit is form, so we can apply L-Hospital rule aligned & = _ x 0 5 7 (1+ x 2 )^ -2 / 7 d d x ( x 2 )-0 1 & = _ x 0 5 7 (1+ x 2 )^ -2 / 7 1 2 & = 5 7 (1+0)^ -2 / 7 1 2 = 5 14 aligned Hence, option (3) is correct

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