JEE Main 202331 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002limx→∞(3x+1+3x−1)6+(3x+1−3x−1)6(x+x2−1)6+(x−x2−1)6x3\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^3x→∞lim(x+x2−1)6+(x−x2−1)6(3x+1+3x−1)6+(3x+1−3x−1)6x3AOption A. is equal to 9BOption B. is equal to 272\frac{27}{2}227COption C. does not existDOption D. is equal to 27CheckSkip · show solution
