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Q. $\displaystyle\lim _{y \rightarrow 0} \frac{\sqrt{3+y^{3}}-\sqrt{3}}{y^{3}}=$

KCETKCET 2022Limits and Derivatives

Solution:

$\displaystyle\lim _{y \rightarrow 0} \frac{3+y^{3}-3}{y\left(\sqrt{3+y^{3}}+\sqrt{3}\right)}=\frac{1}{2 \sqrt{3}}$