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NDA2015MathematicsLimitsActual

If G(x)= 25-x^2 , then what is _ x 1 G(x)-G(1) x-1 equal to?

Options

  1. A- 1 2 6
  2. B1 5
  3. C- 1 6
  4. D1 6

Correct answer

A. - 1 2 6

Step-by-step solution

G ( x )= 25- x ^2 Now, _ x 1 G(x)-G(1) x-1 _ x 1 25-x^2 - 24 x-1 ( form ) Applying L'Hospital rule, aligned & _ x 1 (-2 x) 2 25-x^2 = -2 2 25-x^2 & = -2 2 24 = -1 24 = -1 2 6 aligned Option (A) is correct.

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