JEE MATHEMATICS MCQ: LIMITS

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\lim \limits_{{x \rightarrow \infty}} \frac{(\sqrt{3 x+1}+\sqrt{3 x-1})^{6}+(\sqrt{3 x+1}-\sqrt{3 x-1})^{6}}{\left(x+\sqrt{x^{2}-1}\right)^{6}+\left(x-\sqrt{x^{2}-1}\right)^{6}} x^{3}

View answer and explanation

Correct option: C

Is equal to

\frac{27}{2}

Option C (Is equal to

\frac{27}{2}

) is correct because by applying binomial expansion and simplifying the limit, we get

\frac{27}{2}

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