Think of the smallest number greater than 0...

[Peegee]

I don't think my brother took that class, but now I have like 4 reasons to look forward to the next time I visit xD

[NeoTifa]

hmmmmmm phi=god eh?

well you smartys wanna tell me the deriative of tan(3theta)^10 is? ill give you my everlasting love and gratitude

[rubah]

10 sec²(3Θ)⁹ ?

[NeoTifa]

.... i hate my life ;_; was it really that simple all along? there was an example in my notes just like that only it was 2theta and he used the double angle theorem. and i know there is no triple angle theorem! *sob*

[Arc_Master_14]

.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000000000001*10^-infinity

[Rengori]

.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000000000001*10^-infinity

Putting it to the negative infinity power will make it larger.

[Yamaneko]

Actually this is much more like Achilles and the tortoise.

[rubah]

.... i hate my life ;_; was it really that simple all along? there was an example in my notes just like that only it was 2theta and he used the double angle theorem. and i know there is no triple angle theorem! *sob*

*shrugs*? I dunno, i saw an example with cos and it was pretty similar, barring the whole chain rule thing it was f(θ), right? xD

[NeoTifa]

i dunno due weds. ill put it down though thanks a million

[MKusanagi]

I love infinity! So many possibilities. I am finally getting motivated to love math again! Thanks a bunch!

[o_O]

Theorem: all numbers are equal
Proof: choose arbitrary a & b, and let t = a + b. Then
a + b = t
(a + b)(a - b) = t(a - b)
a^2 - b^2 = ta - tb
a^2 - ta = b^2 - tb
a^2 - ta + (t^2)/4 = b^2 - tb + (t^2)/4
(a - t/2)^2 = (b - t/2)^2
a - t/2 = b - t/2
a = b
Therefore, all numbers are the same, and math is pointless.

What if (a - t/2) or (b - t/2) is negative?

[yuno]

hmmmmmm phi=god eh?

well you smartys wanna tell me the deriative of tan(3theta)^10 is? ill give you my everlasting love and gratitude

30sec^2(3θ)tan^9(3θ)

anyway,there's this book called satan,cantor and infinity which deals with the topic of infinity and a lot more.a very good read,it clearly explains cantor's findings through infinite hotels and the like.^_^

[Discord]

1 x 10 ^ (- n) , where n is the number of decimal places - 2 I can think of. Not what you wanted, but it answer the premise.

[The Ceej]

I have a couple problems for you based on the concept of infinity.

1. You own a hotel with infinity rooms. There are infinity people staying at your hotel. One person comes to your hotel and needs a room. What do you do?

2. You have the same hotel with infinity rooms and infinity people are still staying there. Infinity more people come and need one room each. What do you do?

I know anyone to still be reading this thread at this point is smart enough to figure these out, but I'm going to spoiler the answers in case you're too lazy to think it through.

If You're Too Lazy To Think
1. Move everybody down a room and put the new person in room 1.

2. Move everybody down to the next even room and put the new people in the odd rooms.

[Peegee]

Those problems make my head hurt for different reasons. You can't have infinite quantities. It's not a quantity.