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Limits and Continuity Class 12th

Let f: R → R be a function such that f(2) = 4 and f'(2) = 1. Then the value of lim(x→2) (x²f(2) - 4f(x))/(x-2) is equal to:
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V
Vishal Baghel

Contributor-Level 10

Using L'Hopital Rule:
lim (x→2) (2xf (2) - 4f' (x)/1 = 2 (2)f (2) - 4f' (2) = 4 (4) - 4 (1) = 12.

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