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MHT CET202411 May 2024Evening ShiftMathematicsLimitsActual

_ x 0 x 2 x-2 x x (1- 2 x)^2 is

Options

  1. A2
  2. B-2
  3. C1 2
  4. D- 1 2

Correct answer

C. 1 2

Step-by-step solution

aligned & _ x 0 x 2 x-2 x x (1- 2 x)^2 & = _ x 0 x( 2 x-2 x) (2 ^2 x )^2 aligned aligned & = _ x 0 x( 2 x-2 x) 4 ^4 x & .= 1 4 _ x 0 (2 x+ 1 3 (2 x)^3+ 2 15 (2 x)^5+ ) . -2 (x+ x^3 3 + 2 15 x^5+ ) & = 1 4 ( 8 3 - 2 3 )= 2 4 = 1 2 aligned

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