Let f ( x ) = 4 and f ′ ( x ) = 4 . Then Lim x → 2 x − 2 x f ( 2 ) − 2 f ( x ) is given by

We have, Lim x → 2 x − 2 x f ( 2 ) − 2 f ( x ) ( 0 0 ) = Lim x → 2 f ( 2 ) − 2 f ′ ( x ) = f ( 2 ) − 2 f ′ ( 2 ) = 4 − 2 × 4 = − 4

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Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsAlgebraic and Rational LimitsMedium2 minPYQ_2002

MathematicsMediumsingle choice

Let $f (x) = 4$ and $f^{'} (x) = 4$ . Then $Lim_{x \to 2} \frac{x f ( 2 ) - 2 f ( x )}{x - 2}$ is given by

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Solution:

We have, $Lim_{x \to 2} \frac{x f ( 2 ) - 2 f ( x )}{x - 2} (\frac{0}{0}) = Lim_{x \to 2} f (2) - 2 f^{'} (x) = f (2) - 2 f^{'} (2) = 4 - 2 \times 4 = - 4$

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:Algebraic and Rational Limits

⏱ 2mℹ️ Source: PYQ_2002

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