Question

\[\lim_{n\rightarrow \infty}{^n\sqrt{2^{1+3n}}}\]

Answer 1

\[\lim_{n \rightarrow \infty}\sqrt[n]{2^{1+3n}}\]
\[=\lim_{n \rightarrow \infty}(2^{1+3n})^{1/n}\]
\[=\lim_{n \rightarrow \infty}(2^{1/n+3})\]
apply the limit
\[2^{0+3}\]
\[=2^{3}=16\]

Answer 2

actually, \[2^3 = 8\]
but you got my answer yay thanks so much