# absolutely

1. ### Converge absolutely

infinity n=1 for absolute convergence, I tried to compare with n^8/n^9 but I couldn't tell whether 1/n is smaller than the series. Is there another method I can test for absolute convergence? Also, on what basis can I conclude it does not converge absolutely (in other words, if a test...
2. ### How can you tell if a series is absolutely convergent or conditionally convergent?

How can you tell if a series is absolutely convergent or conditionally convergent? I am only able to tell if it's convergent and that's it. I read my book and noticed that if you rearrange terms with negative signs, then the sum could change but I don't see how that works in practice so it would...
3. ### Determine whether the series is absolutely convergent, conditionally convergent ....

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

Solve the nonlinear inequality: (x − 1)(x+3)(x − 7)2 ≥ 0 Solve by marking zeros and undefined points on a number line and checking signs in the intervals created as in the examples in the narrative. Express your answer in interval notation.
5. ### Uniformly Continuous but not absolutely continuous example?

Could you please help me find an example of the following: a function which is uniformly continuous but not absolutely continuous. Definitions: Uniformly continuous: A function f is uniformly continuous if \forall \epsilon > 0 \ \exists \delta > 0 such that | x-x_0 | < \delta \rightarrow...
6. ### Uniformly Continuous but not absolutely continuous example?

Could you please help me find an example of the following: a function which is uniformly continuous but not absolutely continuous. Definitions: Uniformly continuous: A function f is uniformly continuous if \forall \epsilon > 0 \ \exists \delta > 0 such that | x-x_0 | < \delta \rightarrow...
7. ### Converges Absolutely

Find all values of x for which the series inf E n=1 (3^n)(x^n) converges absolutely.
8. ### Function series which converges uniformly but not absolutely

Hello, I'm new here and would like some help finding a function series qualifying the conditions in the title. Thanks!
9. ### i'm absolutely terrible at math

so i somehow managed to get into business calculus in school and i'm sure these questions are easy for most but can u help. Directions: Find the rate of change of the given function f(x) with respect to x for the prescribed value x=c Question: f(x) = x- square root of x + 1/x^2 ; x=1 2...
10. ### absolutely convergent, conditionally convergent or divergent

the question is: determine whether the series is absolutely convergent, conditionally convergent or divergent. \sum_{n = 1}^{\infty} (-3)^n \frac{n+1}{\exp(n)} I found that if i do the ratio test it diverges but im not sure how to do the alternating test, is a just \frac{n+1}{\exp(n)}...
11. ### Absolutely Annoying (Absolute value)

Hi MHF, stuck on a homework problem. I need to solve for a. |2a+8|=|2a-6|

13. ### determine if series is absolutely convergent conditionally convergent or divergent

determine if series is absolutely convergent conditionally convergent or divergent for sum from 1 to infinity of ((-1)^n)(n/(5+n)) my work: absolute value of lan+1/(an)l = (n+1/(5+(n+1))(5+n/(n)) as n goes to infinity equals 5/6 which is less than 1 so the series is absolutely convergent by...
14. ### why is this absolutely convergent?

I don't get why this is absolutely convergent? \sum^{\infty}_{n=1} \frac{sin(4n)}{7^n}
15. ### Series: Absolutely convergent, con convergent or divergent

The series from 1 to infinity of n!/n^n? I tried the ratio and root test and they didn't work, unless I messed up. I was thinking a comparison test, but I'm not sure if you can verify something is absolutely convergent using the comparison test or limit comparison test.
16. ### absolutely continuous functions and measurable sets

I have a homework question that I need a hint on... Given f:R->R is absolutely continuous, I have shown that f maps sets of measure zero to sets of measure zero. I am yet to show that f maps measurable sets to measurable sets. I know that E is measurable iff it differs from a g-delta or an...
17. ### absolutely convergent series

Show that if a1+a2+a3+... is an absolutely convergent series of real numbers, then a1^2+a2^2+a3^2+... converges.
18. ### Proof of an absolutely covergent series

I am having trouble proving this: Let \sum a_{n} be absolutely convergent. Show that \sum|(a_{n})^2\ln (|a_{n}|)| is absolutely convergent. Here is what I am trying: We know \sum |a_{n}| is convergent \sum(|a_{n}|)^2\ln (|a_{n}|) \leq \sum(|a_{n}|)^3 I am not sure where to go for...
19. ### Check whether the following series is absolutely or conditionally convergent

∑((n*sin(n))/(2+n^4+n)) Thato's Site
20. ### Series Convergence Conditionally or absolutely

Does \sum_{n=1}^\infty (-1)^n\frac{5^{2n}}{n!} convergence conditionally or absolutely? How do you take the limit of a factorial? Thanks