9000063604
Level:
B
Find the following limit.
\[
\lim _{n\to \infty }\sin 2\pi n
\]
\(0\)
\(1\)
\(- 1\)
\(\infty \)
Limit of a sequence
9000063605
Level:
B
Find the following limit.
\[
\lim _{n\to \infty }\log 3^{n}
\]
\(\infty \)
\(- 1\)
\(0\)
\(3\)
9000063606
Level:
A
Find the following limit.
\[
\lim _{n\to \infty }\frac{3n^{2} - 2n + 1}
{2n^{3} - 4}
\]
\(0\)
\(\frac{3}
{2}\)
\(\frac{1}
{2}\)
\(-\frac{1}
{4}\)
9000063607
Level:
B
Find the following limit.
\[
\lim _{n\to \infty } \frac{1}
{\log 10^{n}}
\]
\(0\)
\(1\)
\(10\)
\(\infty \)
9000063608
Level:
B
Find the following limit.
\[
\lim _{n\to \infty }\frac{2^{n} + 3^{n}}
{3^{n}}
\]
\(1\)
\(2\)
\(3\)
\(\infty \)
9000063609
Level:
A
Find the following limit.
\[
\lim _{n\to \infty }\left ( \frac{n}
{n - 1} + \frac{n + 2}
{n + 1}\right )
\]
\(2\)
\(- 1\)
\(0\)
\(1\)