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
-
For this question you need to provide Theorem D7.
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.
- answered
- 147 views
- $9.00
Related Questions
- Show that ${(x,\sin(1/x)) : x∈(0,1]} ∪ {(0,y) : y ∈ [-1,1]}$ is closed in $\mathbb{R^2}$ using sequences
- using maclaurin series for tan(x) and equation for length of cable to prove that x=
- Why does $ \sum\limits_{n=1}^{\infty } 2^{2n} \times \frac{(n!)^2}{n(2n+1)(2n)!} =2 $ ?
- Arithmetic Sequences Help
- Show that $\sum_{n=1}^{\infty} \frac{\sin n}{n}$ is convergent
- Solve summation problem: $\sum_{k=1}^{n} \tfrac{2k+1}{k^{2}(k+1)^2 } $
- Is $\sum_{n=1}^{\infty}\frac{\arctan (n!)}{n^2}$ convergent or divergent?
- A lower bound for an exponential series
