If $ \lim _{x \rightarrow 0} \frac{a e^x-b}{x}=2 $ then $(a, b)$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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\lim _{x \rightarrow 0} \frac{a e^x-b}{x}=2

then

(a, b)

is equal to

View answer and explanation

Correct option: C

(2,2)

Option C ((2,2)) is correct because by applying the limit definition and L'Hopital's rule, we can determine the values of a and b.

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