If $f'\left( a \right) = 2$ and $f\left( a \right) = 4$, then $\mathop {\lim }\limits_{x \to a} \frac{{xf\left( a \right) - af\left( x \right)}}{{x - a}}$ equals

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

f'\left( a \right) = 2

and

f\left( a \right) = 4

, then

\lim\limits_{x \to a} \frac{{xf\left( a \right) - af\left( x \right)}}{{x - a}}

equals

View answer and explanation

Correct option: B

4 - 2a

Option B (4 - 2a) is correct because it is the result of applying L'Hopital's rule or algebraic manipulation to the limit expression.

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