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
4.8K
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
- 1027 views
- $9.00
Related Questions
- Sequence & Series
- Is $\sum_{i=1}^{\infty}\arctan (\frac{n+1}{n^2+5})$ convergent or divergent?
- Sibling Triangle Pairs
- Prove that $1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}} \leq 2 \sqrt{n}-1$
- Arithmetic Sequences Help
- Find sum of $n$ term, sum to infinity, least value for $n$
- Wierdly Rational Fractions
- Show that $\sum_{n=1}^{\infty} \frac{\sin n}{n}$ is convergent
For this question you need to provide Theorem D7.