Math Forum / Mathematics / Undergraduate Math / November 2006

Thank you so much...I was actually able to figure out #1 earlier today...but was lost on everything else. I just quickly read through what you posted, but I am sure it will be a big help!
Thanks again, if theres anything I can do to return the favor just ask!
Angela

Hello. I need examples of the use of induction to help proove
convegence or diverence of sequenses.
thank you!

How would one go about finding the limit as x approaches infinity for a
function of this form:
[(ax)/(ax+b)]^cx
where a,b and c are all constants.

I'm doing a maths module at uni part of my third year and I haven't
touched maths for 4 years. So I'm now struggling with series and I was
just wondering if someone could help me with the following infinite
series. I don't even know where to start!

I'm having trouble visualizing what this shape is: a solid whose base
is the area bounded by y = 3-x, x=0, and y=0, and whose cross sections
are squares perpendicular to the x axis.
Is this a square pyramid, or even a real shape? Its very difficult (for

According to the definition of the Legendre symbol, then if 'p' is an odd
prime and 'a' is not congruent to zero (mod p) then (a/p) is defined as :-
(a/p)   =   1,  if 'a' is a quadratic residue of p,
             -1, if 'a' is a quadratic non-residue of p

How do you solve this:
y'+x=xy
Here's my attempt:
y'+xe^(x^2/2)=xy

Will someone please explain to me how you are supposed to use logical
implication and/or equivalence to solve this.....
Bill, Sue, and Alice are lined up facing forward with Bill first, then
Sue, then Alice. From a collection that they know contains 3 blue and 2

I want to find 3 rational numbers a,b and c such that 3b^2 = a^2 + c^2.
I am not sure where to begin!
I wrote a program in C++ to search for such numbers if a,b, and c were
positive integers, (I searched if a and c were between 1 and 10000).

Can someone tell me whether Wombats live only in Australia,
or also on other continents?
Apart from zoos, of course.
133

So yes, I think it quite likely that mathematicians are protecting the
Riemann Hypothesis, which is the deep reason to ignore my prime
counting function.
I think they are quite capable of doing it, even if deep down they know

A few days ago I asked that readers who use Google Groups use the
ratings system that is provided through it where you can rate posts
from 1 to 5 stars.
I have looked over threads that I created to talk about my research and

Can someone tell me whether Wombats live only in Australia,
or also on other continents?
Apart from zoos, of course.
We all know that Wombats are to be found in Zoos.

le hopital's rule can be used to show that
limit of (log x)^2 / sqrt(x) = 0 as x -> oo
Is there a way to do this at calculus level without le hopital's.
thanks.

Are there any applications of diffy-qs in finance? Thanks!!!!!!