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
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

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
- 863 views
- $9.00
Related Questions
- Taylor polynomial
- Wierdly Rational Fractions
- Existence of a Divergent Subsequence to Infinity in Unbounded Sequences
- Calculus: INFINITE SERIES
- Is $\sum_{i=1}^{\infty}\arctan (\frac{n+1}{n^2+5})$ convergent or divergent?
- Find sum of $n$ term, sum to infinity, least value for $n$
- Prove that $1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}} \leq 2 \sqrt{n}-1$
- Calculate the imit of $\sum_{k=0}^{∞} (-1)^k\frac{1}{k!} $
For this question you need to provide Theorem D7.