Level:
Project ID:
1003047301
Accepted:
1
Clonable:
0
Easy:
1
Which of the following expressions describes the correct calculation of the limit?
\[ L=\lim\limits_{n\to\infty}\frac{n^3+2n-3}{2n^3+5}\]
\( L=\lim\limits_{n\to\infty}\frac{1+\frac2{n^2}-\frac3{n^3}}{2+\frac{5}{n^3}}= \frac12 \)
\( L=\frac{\infty^3+2\cdot\infty-3}{2\cdot\infty^3+5}=\infty \)
\( L=\frac{\infty^3+2\cdot\infty-3}{2\cdot\infty^3+5}=0 \)
\( L=\lim\limits_{n\to\infty}\frac{n\left(n^2+2\right)-3}{2n^3+5}= -\frac35 \)
\( L=\lim\limits_{n\to\infty}\frac{\left(n^2+3\right)(n-1)}{2\left(n^3+\frac52\right)}= 0 \)