# Null sequences three part question

Determine whether each of the following sequences (An) converges or diverges. For each that converges, determine its limits

1) An=(n^2/n+1)-(n^2/n+2), n=1,2..

2) An= (n^2 +1/3n^3 - 2n^2), n=1,2..

3) An = (n^3 cos (npie)/n^2 +1, n= 1,2...

Justify your answers carefully and write the solution out you may use null sequences in theorem D7 but you shoukd state clearly which result or rules you've used

## Answer

**Answers can be viewed only if**

- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

1 Attachment

The answer is accepted.

Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.

- answered
- 242 views
- $9.00

### Related Questions

- [Precalculus] Sequences and series questions.
- Sequence & Series
- Sequence and Series
- Sum of infinite series
- Why does $ \sum\limits_{n=1}^{\infty } 2^{2n} \times \frac{(n!)^2}{n(2n+1)(2n)!} =2 $ ?
- Show that $\sum_{n=1}^{\infty} \frac{\sin n}{n}$ is convergent
- Arithmetic Sequences Help
- Probe the following sequences is null

For this question you need to provide Theorem D7.