Limit of a sequence

Limits and Graphs of Sequences

Submitted by vladimir.arzt on Sat, 10/19/2024 - 11:21

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Submitted by vladimir.arzt on Tue, 08/27/2024 - 09:10

Level:

Find the limit.

lim_{n \to \infty} \frac{3^{n + 1} - 5^{n + 1}}{3^{n - 1} - 5^{n - 1}}

25

\frac{1}{25}

0

\infty

1

Level:

Choose the sequence with the limit equal to

- 3

{({(\frac{1}{3})}^{n} - 3)}_{n = 1}^{\infty}

{(3^{n} - 3)}_{n = 1}^{\infty}

{(3 - 3^{n})}_{n = 1}^{\infty}

{(3 - {(\frac{1}{3})}^{n})}_{n = 1}^{\infty}

{((- 3)^{n} - 3)}_{n = 1}^{\infty}

Level:

Find the following limit.

lim_{n \to \infty} \frac{4^{n}}{3^{n} - 4^{n}}

- 1

0

\infty

1