Limit of a sequence

1003035910

Level: 
B
Find the limit of the sequence \( \left( \left( -\frac23 \right)^n \right)_{n=1}^{\infty} \).
\( \lim\limits_{n\rightarrow\infty}\left( -\frac23 \right)^n=0 \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac23 \right)^n=-\infty \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac23 \right)^n=-\frac23 \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac23 \right)^n=-\frac32 \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac23 \right)^n \) does not exist.

1003035909

Level: 
B
Find the limit of the sequence \( \left(\left( -\frac32 \right)^n \right)_{n=1}^{\infty} \).
\( \lim\limits_{n\rightarrow\infty}\left( -\frac32 \right)^n \) does not exist.
\( \lim\limits_{n\rightarrow\infty}\left( -\frac32 \right)^n = \infty \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac32 \right)^n = 0 \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac32 \right)^n = -\infty \)
\( \lim\limits_{n\rightarrow\infty}\left( -\frac32 \right)^n = -\frac32\)

1003035908

Level: 
B
Find the limit of the sequence \( \left(\left( \frac23 \right)^n\right)_{n=1}^{\infty} \).
\( \lim\limits_{n\rightarrow\infty}\left( \frac23 \right)^n =0 \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac23 \right)^n =-\infty \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac23 \right)^n =\frac{16}{81} \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac23 \right)^n =\frac23 \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac23 \right)^n \) does not exist.

1003035907

Level: 
B
Find the limit of the sequence \( \left(\left( \frac32 \right)^n \right)_{n=1}^{\infty} \).
\( \lim\limits_{n\rightarrow\infty}\left( \frac32 \right)^n =\infty \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac32 \right)^n =\frac32 \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac32 \right)^n =\frac{81}{16} \)
\( \lim\limits_{n\rightarrow\infty}\left( \frac32 \right)^n = 0\)
\( \lim\limits_{n\rightarrow\infty}\left( \frac32 \right)^n \) does not exist.