Recent content by rahl__

first of all i'd like to correct myself as i don't really need to find that sum. i was just wondering whether my mathematical knowledge is big[?] enough to solve this problem, so what should I have really asked about is: what method would you choose to find that sum. I have used the comparative...

Hi, I need to find the sum of such series: \sum_{n=1}^{\infty}\sin{\frac{\pi}{2^n}} i know that it's sum is less than \pi but i don't know how to find the exact value. thanks in advance for any help or clues

you took me wrong, these problems were not my homework exercises. I had an exam last saturday from sequences and multitude theory [?] and from a list of about 100 exercises these 11 were the ones that i had some problems when trying to solve. i thought that this exam will be in 2 weeks time, but...

i have a few problems with sequences 1. show, that if: \lim_{n\to\infty}a_{n}=L than sequence: b_{n}=\frac{a_{1}+...+a_{n}}{n} is convergent to L 2. show that the sequencea_{n} is monotone, bounded and find out its limit, if: a_{1}=2 a_{n+1}=\frac{a_{n}+4}{2} 3. show that if the...

1 few days ago i saw a "strange" definition of a decreasing function in the web, but i can't find it now. there were three relationships, and when showing that one implies another, you could tell that the function is decreasing. one relationship looked like this: f(x)=\frac{1}{x} does it look...

can i find where the maximum value is without using derivatives?

how can I find the highest element of such set: A={\sqrt[n]{n}:n\in{N}} ?

got it, thanks

i want to show that 2,718... [which is e] is the limit converge of that expression, I've posted my question in this 'strange' way to avoid getting answers such as "under the definition of e the limit converge of that expression is e". hope u understand what I am talking about thats what i...

i know that that the limit of this expression is e, but i don't know how to derive it... i will be really grateful if someone could help me solve this problem