Limit of a sequence
Limits of Sequences - Mix I
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Submitted by vladimir.arzt on Tue, 08/27/2024 - 12:057400100058
Submitted by vladimir.arzt on Tue, 08/27/2024 - 09:102010005406
Level:
B
Find the limit.
\[
\lim\limits_{n\rightarrow\infty}\frac{3^{n+1}-5^{n+1}}{3^{n-1}-5^{n-1}}
\]
\( 25 \)
\( \frac1{25} \)
\( 0 \)
\( \infty \)
\( 1 \)
2010005404
Level:
B
Choose the sequence with the limit equal to \( -3 \).
\( \left(\left(\frac13\right)^n-3\right)_{n=1}^{\infty} \)
\( \left(3^n-3\right)_{n=1}^{\infty} \)
\( \left(3-3^n\right)_{n=1}^{\infty} \)
\( \left(3-\left(\frac13\right)^n\right)_{n=1}^{\infty} \)
\( \left((-3)^n-3\right)_{n=1}^{\infty} \)
2010005403
Level:
B
Find the following limit.
\[
\lim _{n\to \infty }\frac{4^{n}}
{3^{n}-4^n}
\]
\(-1\)
\(0\)
\(\infty \)
\(1 \)