Did anyone figure out the infinite product that was mentioned in Jason's puzzle? I know it has something to do with PI, but have no idea how to prove it. The...
Actually i am a new member.I would like to know what topic you guys are discussing about.Is it on algebra,or aritheymetic. ... Play Santa's Celebrity Xmas...
... Find ... At first I thought this was related to Archimedes method of calculating pi but couldn't figure out how to get the continued product into it. Then...
In a message dated 1/3/2006 9:48:52 AM Central Standard Time, ... Any math topic you want. Sometimes we stray. stevo [Non-text portions of this message have...
That was beautiful. I was trying myself to apply Stolz theorem, but couldn't define the right sequences. Ishamael You cannot escape so easily, Dragon. It is...
Given a 45 degree cone, the base radius equals the height or I'm sure someone will tell otherwise. Imagine that the cone is sliced so that you get a circle of...
The problem is to solve for x in the following x=(A-(B+x)^n)^(1/n)-C A Professor once told me that if you had four or more variables, problems like this are...
There were no solutions for this problem so I thought I'd post it here. My calculator finds that there are no solutions at all. Jason says hi. Find all...
Is it possible to prove convergence the next series inf S (-1)^n abs(sin(n))/n n=1 I tried everything I could think of, including Abel's test, but still no...
I have a couple of trig questions, please help me if possisble 11. 2 sin x= 1 ¨C cos^2x 12. sin^2x ¨C cos^2x = 1 13. 4 sin^2x + 4cos x = 5 15. 3cosxsin^2x...
Unless I recall it wrong, there is a Leibniz test for convergence of alternatting series. It states that given positive a_n, the series Sigma(-1)a_n converges....
... Inspection shows that all solutions must be between -140 and +4 because anything outside of that range will cause taking the root of a negative number. I...
Or another, possibly an even simpler idea. Let's go for absolute convergence instead. Apply the Dirichlet test to the series abs(sin n)/n. According to the...
It's not so easy because to use Leibniz test we must conclude that the series monotonously decrease and it's not true in this case, so we can't use this test...
Nice idea but the truth is that this series don't converge absolutely because the sum of b_n is not bounded, I tried Dirichlet test before and wasn't able to...
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In a message dated 1/5/2006 11:33:04 PM Central Standard Time, ... I got the same answer on a scientific calculator. It converges very fast. stevo [Non-text...
... My solve program which uses the bisection method, comes up with 2.30277563773199465 1 roots found from x = -200 to 200 step 1 Roots and evaluation at f(x)...
Yes, just to add to what has been said, I think x = (sqrt(13)+1)/2 = 2.302775638 is the only solution. Defining: f(x) = sqrt(4+x) g(x) = sqrt(4-x) h(x) =...
I just watched on Spike for the umpteenth time the episode "The Royale" where Riiert, Data and Worfget captured in a Hotel made by superier beings for a lone...
In a message dated 1/6/2006 9:25:51 AM Central Standard Time, ... How did you get that answer? I expanded the equation by removing all the square-root...
In a message dated 1/6/2006 12:52:01 PM Central Standard Time, ... The fractional part apparently also belongs to a solution of ((4*x + 7)*x - 9)*x - 9)*x = 0 ...
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... I know I found it at google groups and thought that maybe now somebody could solve it, I have some ideas but also can't prove them definitely, so thanks...
You can factor that 8th degree polynomial, and one of the factors will be [(2x-1)^2-13]/4=x^2-x-3, as indicated in another post. How did I do it? Technology,...
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