Why is it that e raised to the power of negative infinity would equal 0 instead of negative infinity? I am working on problems with regards to limits of i...

Basically, I need to show that f(x)=(x+1)/(x-1) is its own inverse by computing f(f(x)). I can set up the problem, but I have run into a road block for pr...

It has been a few years since studying contour maps. Often I hear slope and gradient interchangeably in describing steepness. Does anyone know any good de...

I'm having a hard time grasping the concept of a field of quotients. The book I'm currently reading gives the following definition: Any integral...

The problem says: Show if $\sin{\theta} = \sqrt{1 - \cos^2{\theta}}$ if $\sin{\theta}$ is positive and $\sin{\theta} = -\sqrt{1 - \cos^2{\theta}}$ if $\si...

How do you determine if a telescoping series is convergent or not? If it converges, what value does it converge to? It seems like you need to do partial f...

I couldn't find any TAGS that fit my question... I don't know if I'm doing this correctly. I want to know how long a "twinkling of an eye" ...

How would I find the corresponding $\alpha$, $\beta$, and $\gamma$ for the point $p$ with respect to the triangle with vertices $a$, $b$, and $c$?

I started with $x+y=a$ and $xy=b$ and I rewrote the equations with a and b. I got $$b=a^2+a-4$$ $$x^3+y^3=2a^3+3a^2-12a^2=7$$ $$f(a)=-2a^3+3a^2-12a^2-7=0$...

Is there a third dimension of numbers like real numbers, imaginary numbers, [blank] numbers?