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NDA2018MathematicsLimitsActual

What is _ h 0 2 x+3 h - 2 x 2 h equal to?

Options

  1. A1 2 2 x
  2. B3 2 x
  3. C3 2 2 x
  4. D3 4 2 x

Correct answer

D. 3 4 2 x

Step-by-step solution

Let L= _ h 0 2 x+3 h - 2 x 2 h Rationalise the numerator, we get: L= _ h 0 ( 2 x+3 h - 2 x 2 h 2 x+3 h + 2 x 2 x+3 h + 2 x ) aligned & = _ h 0 2 x+3 h-2 x 2 h( 2 x+3 h + 2 x ) & = 3 2( 2 x+0 + 2 x ) = 3 4 2 x aligned

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