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Manipal MET2020MathematicsLimits

_ x 2 2- 2+x 2^ 1 / 3 -(4-x)^ 1 / 3 is equal to

Options

  1. A2 3^ -1 / 2
  2. B3 2^ -4 / 3
  3. C-3 2^ -4 / 3
  4. DNone of these

Correct answer

C. -3 2^ -4 / 3

Step-by-step solution

Given, _ x 2 2- 2+x 2^ 1 / 3 -(4-x)^ 1 / 3 [ 0 0 . form ]= _ x 2 0- 1 2 2+x 0- 1 3 (-1) (4-x)^ 2 / 3 aligned & = _ x 2 -3(4-x)^ 2 / 3 2 2+x & = -3 2 (4-2)^ 2 / 3 2+2 = -3 2 2^ 2 / 3 2 & =-3 2^ 2 3 -2 =-3 2^ -4 / 3 aligned

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