@Ichijoe
That website has taken too much of my life yet its part of why I got into MLP.

The problem is that you’re not thinking in limits. If y(1) = 3 * 10^-x and y(2) is the sum of all y(1)s where x is a whole number (I know that there’s a way to write this, but I forget what it is and I don’t think I could do it on a keyboard anyway), then the limit of y(2) as it approaches infinity will = 1/3. And, if y(3) = 3 * y(2), then you end up with the limit of y(3) as it approaches infinity being 1. What you’re doing here is taking .33, not .33… (which is meant to state y(2)). .33 =/= 1/3. .33 ~= 1/3.

Like I said this stuff is worse then TV Tropes…

@Ichijoe  
Don’t forget Periodic Videos. At least one video for each element!

Felix-Hexigons 12 Days of Christmas, Pi vs. Tau. Wau… And that’s before ya discover SciShow, VSauce, Numberphile, Minutephysics… Just to name a few. EVEYONE OF THOSE CHANNELS MORE AWESOME THEN THE LAST!

@Ichijoe  
Awww, beans.  
^{snake snake snake snake snake  
triangles triangles triangles}

@Keith Mowz  
YOU BASTARD!! Do you have any idea how infectious that stuff is? And People think that TV Tropes is a time killer…  
Well their went any chance of getting anything done today!

@Background Pony  
This has nothing to do with an infinite number of mathematicians walking into a bar.

Nice try, math!

@Background Pony  
There’s no approximation involved, and you’ve clearly never worked with limits. I’ve actually taken Calculus, and the limit of f(x) = 1 - 0.1^x as x goes to infinity is EXACTLY one.

@Background Pony  
No no, see: 0.(9) = 1  
Period. Nothing else. It’s the same as writing 2 + 2 = 4.

@Background Pony  
Time for all you doubters to get your daily dose of Vihart

Problem is, the equal symbol doesn’t really apply here since its an approximation, limit i think it was called in math?

@Background Pony  
Dude, there’s no punch line.
 
0.999… = 1.

.333… * 3 = 1, not 0.999…  
That’s the punchline to this whole joke.

@Background Pony  
There’s no such number as “0.000…1”; if you have an infinite number of zeroes, you can’t put a one after them, by definition.

.999… + .000…1 = 1

@Background Pony  
0.333… doesn’t “approach” anything; it’s a constant, not a function.

That’s because the premise is not true. .33… is not EQUAL to 1/3, that is impossible; it infinitely approaches 1/3. As such, .99… infinitely approaches 1.

Infinities tend to do that to you.

well duh :P

Notto Disu Sitto Agen.