# 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

Mansjusere

61

## Answer

**Answers can only be viewed under the following conditions:**

- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

1 Attachment

Erdos

4.7K

The answer is accepted.

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

- answered
- 514 views
- $9.00

### Related Questions

- Sum of infinite series
- Convergence of $\sum\limits_{n=1}^{\infty}(-1)^n\frac{n+2}{n^2+n+1}$
- Determine the Closed Form of a Recurrance Relation
- Existence of a Divergent Subsequence to Infinity in Unbounded Sequences
- A lower bound for an exponential series
- Sequence and Series
- Sequence & Series
- Probe the following sequences is null

For this question you need to provide Theorem D7.