\lim \limits_{n \to \infty } {\left( {\frac{{{n^3} + 1}}{{{n^3} + 2}}} \right)^{2{n^3}}}
You asked:
Evaluate the expression: \(\lim_{n \to \infty}{{\left( \frac{{n}^{3} + 1}{{n}^{3} + 2} \right)}^{2 \cdot {n}^{3}}}\)
MathBot Answer:
\[\lim_{n \to \infty}{{\left( \frac{{n}^{3} + 1}{{n}^{3} + 2} \right)}^{2 \cdot {n}^{3}}} = e^{-2}\]