🛠️ JEE➗ Maths

Let \( \mathrm{f}(\mathrm{x}) \) be a differentiable function at \( x=a \) with \( f^{\prime}(a)=2 \) and \( f(a)=4 \). …

Q1

Let \( \mathrm{f}(\mathrm{x}) \) be a differentiable function at \( x=a \) with \( f^{\prime}(a)=2 \) and \( f(a)=4 \). Then \( \lim _{x \rightarrow a} \frac{x f(a)-a f(x)}{x-a} \)equals:

[JEE Main 2021, 26 Feb (Shift 2)]

a

\( 2 a+4 \)

b

\( 2 a-4 \)

c

\( 4-2 a \)

d

\( a+4 \)

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