JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

\lim \limits_{{x \rightarrow 0}} \frac{2 a x+(a-1) \sin x}{\tan ^3 x}=l

, then

a+l

is equal to

View answer and explanation

Correct option: D

\frac{4}{9}

Option D (4/9) is correct because by applying L'Hopital's rule and standard limits, we find

a = \frac{{1}}{{3}}

and

l = \frac{{1}}{{9}}

, thus

a + l = \frac{{4}}{{9}}

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