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Limits Continuity and Differentiability question

2023 · 31 Jan · Shift 2 · Q35

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 31 Jan · Shift 2 · Q35

Limits Continuity and Differentiability question

2023 · 31 Jan · Shift 2 · Q35

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\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

A
is equal to 9
B
is equal to $\frac{27}{2}$
C
does not exist
D
is equal to 27

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