JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

Let

f(x)

be a differentiable function at

x=a,

f^1(a)=4,

f(a)=2.

Then

\lim \limits_{{x \rightarrow a}} \frac{x f(a)-a f(x)}{x-a}

is equal to

View answer and explanation

Correct option: B

2-4 a

Option B (

2-4a

) is correct because applying L'Hopital's rule and using the given values of

f(a)

and

f'(a)

leads to this result.

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