Linked Questions

-3
votes
2answers
133 views

Why it is so? Please explain please help me [duplicate]

Why $ \infty - \infty \neq 0 ?$ Please explain
0
votes
2answers
66 views

Is $\infty$ undefined? [duplicate]

I am confused at $\infty$ in a lot of ways. First, we sometimes say that ${1\over 0}=\infty$. That gives us these confusing calculations.$${1\over0}=\infty$$ $$1=0*\infty$$ $$2=(0*2)*\infty$$ $$2=0*\...
1
vote
0answers
61 views

What is $\infty - 0.5\infty$? [duplicate]

I just confused myself trying explain "infinity" to my daughter. Infinity and a half is infinity. Check. Half of infinity is infinity. Check. Infinity minus half infinity is...what? I get that $\...
108
votes
11answers
172k views

Why is $\infty \cdot 0$ not clearly equal to $0$?

I did a bit of math at school and it seems like an easy one - what am I missing? $$n\times m = \underbrace{n+n+\cdots +n}_{m\text{ times}}$$ $$\quad n\times 0 = \underbrace{0 + 0 + \cdots+ 0}_{n\...
99
votes
8answers
53k views

Is infinity a number? [duplicate]

Is infinity a number? Why or why not? Some commentary: I've found that this is an incredibly simple question to ask — where I grew up, it was a popular argument starter in elementary school &#...
46
votes
12answers
4k views

Different sizes of infinity

Correct me if I'm wrong, but this is what they taught us in precal: $$\lim_{x\rightarrow\infty}x=\infty$$ $$\lim_{x\rightarrow\infty}x^{2}=\infty$$ But, we also know that $n^{2}>n$ if $n\notin [0,1]...
44
votes
4answers
2k views

Why can you chose how to align infinitely long equations when adding them?

I saw in a video this proof: Take this equation: $$f=1+\frac12+\frac14+\cdots$$ and do this: $$\begin{align} f&=1+1/2+1/4+\cdots\\ -\quad f/2&=\quad\:\:\:1/2+1/4+\cdots\\ \...
12
votes
3answers
23k views

Is infinity a real number? [duplicate]

Is infinity a real number? If not, why not? I want some very good arguments. Thanks. $$\rightarrow\leftarrow\Huge\Huge\Huge\boldsymbol\infty$$
7
votes
2answers
4k views

“infinite moments” or “moments don't exist”?

what is the difference between "infinite moment" and "moments don't exist"? moreover, if I find out the moment generating function for some distribution, and take first derivative set s=1, and if I ...
4
votes
4answers
4k views

Is a subset of infinity still infinity?

In looking at the post here which really got me thinking what infinity and how it is notated. As the question states, is a subset of infinity still infinity? Also, what area of the Math world covers ...
4
votes
3answers
573 views

What is the result of $\infty - 1$?

I was wondering after reading "What is the result of infinity minus infinity", is there any logical result for $\infty - 1$ ?
18
votes
2answers
1k views

Reuleaux Rollers

The Reuleaux polygons are analogs of the regular polygons, except that the "sides" are composed of circle arcs instead of lines. It is known that for an odd number of sides, e.g. the Reuleaux triangle,...
2
votes
2answers
160 views

Proof of $+\infty=-\infty$ (Maybe)

I guess we can agree that $+0 = -0$. Now, after that, I was simply looking at some graphs. The graph of $\tan x$ shows asymptotes at x = $n\pi + \pi/2$. I got to thinking, what if they weren't ...
1
vote
1answer
954 views

Infinity minus infinity?

If I have an infinite sum of values (where each value has a random value between 0 and 1) and deduct another infinite sum of values (where each value has also a random value between 0 and 1). You ...
1
vote
0answers
636 views

Expected Value formula

This is a continuous probability exercise which is pretty simple but when I got to part C I was doing the normal integration and I got it wrong because I used X to find the expected value of X instead ...

15 30 50 per page