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AP EAMCET202021 Sep 2020Evening ShiftMathematicsLimitsActual

( _ x 1 ((1-x) ( x 2 ) )= )

Options

  1. A( 1 )
  2. B( 3 )
  3. C( 4 )
  4. D( 2 )

Correct answer

D. ( 2 )

Step-by-step solution

( aligned & Lim _ x 1 (1-x) ( 2 x ) & = Lim _ x 1 1-x ( x 2 ) = Lim _ x 1 -1 - 2 cosec ^2 ( x 2 ) (on applying L'Hospital rule) aligned ) (= 2 ) Hence, option (d) is correct.

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