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1983

JEE Main 1983 Mathematics question on Limits Continuity and Differentiability

If f(a)=2f(a) = 2, f′(a)=1f'(a) = 1, g(a)=−1g(a) = -1, g′(a)=2g'(a) = 2, then the value of lim⁡x→ag(x)f(a)−g(a)f(x)x−a\lim_{x \to a} \dfrac{g(x)f(a) - g(a)f(x)}{x - a} is
  1. A.
    −5-5
  2. B.
    15\dfrac{1}{5}
  3. C.
    55
  4. D.
    None of these
Show answer

Correct option: C

[1983]

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