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The last one equals 2, that's not very insulting.

The harmonic series diverges.

Last one istn't 2, but it is still not very insulting cause it's

wand from 3rd we've got |Your mom| is not in P(w) so it is greater thanw.Well, considering that 1/1+1/2+1/3+1/4 > 2, I think his insult still stands

the last one has not limit...i think you are mistaking 1/n for 1/(n^2) which, had it been the case, you'd have been right

Are you thinking of pi squared over six?

@nat1192: that limit = 2. such an anticlimax .sad. they have already done it with 3 kids strafing the non geeky kid.

I didn't get the 3rd one is P the power set?

P is Power set. See P(dot)!

Theorem 1.4: |Your Mom| = ln(n_max)

Since n_max approaches infinity, |Your Mom| approaches infinity. (NOT 2).

It's a shame you can't prove Theorem 1.4 using the sandwich theorem.... maybe she was on a diet?

Theorem 1.5 Your mom is so fat she's not even first-countable anymore.

Theorem 1.6: Yo mamma so fat the pigeonhole principle doesn't apply to her.

Theorem 1.7. Your momma so smart,

IQ(Your Mom)>sum of 1/n n=0 to 3. (=infinity)

@Darien: Actually, he would have been nevertheless wrong, since that limit equals [(pi)^2]/6

No. It's ∞.

Your mom is so fat, dd(your mom) > 0. I.e. her boundaries have boundaries.

Trigonal Fractals FOREVER!

Theorem 1.4 is the harmonic series which diverges.

http://en.wikipedia.org/wiki/Harmonic_series_(mathematics)

The confusion is that 1 + 1/2 + 1/4 + 1/8 has a limit of 2.

1 + 1/2 + 1/3 + 1/4 + 1/5 + ... is infinite.

Consider, it is bigger than the series 1 + 1/2 + 1/2 + 1/4 + 1/4 + 1/4 + 1/4 + ... which diverges.

1+1/2+1/2+1/4+1/4+1/4+1/4+... does diverge but term by term this is at least as big as 1+1/2+1/3+1/4+... so that doesn't help us (just because a big series is big doesn't mean that a smaller series is big). The idea can be used, however, if we look at 1/2+1/4+1/4+1/8+1/8+1/8+1/8+...

Now this is smaller, term by term, than the 1/n series and this is something we can sum since the first term adds to 1/2, the second two terms add to 1/2, the next 4 terms add to 1/2, the next 8 terms to 1/2 and so on so the series diverges.

@mrnil

aaah ! i display my ignorance, AGAIN :(

Your momma's so big that Aleph(your momma)<Your momma

Theorem 1.8: Your Momma so smart, that her IQ is a mole to the googolplex.

James, thanks for the correction.

I shouldn't try to get all mathy this early in the morning.

Yo momma so dumb

Σ(1/2)^n counts to 2 faster than she can.

Awesome!

Yo mamma is easier than finding a trivial solution

The Frivolous Theorem of Arithmetic: Almost all natural numbers are smaller than your mom's weight.

I rated it 1. Why? It's WAY too hilarious! And...

Theorem 1.5: x C pi.

@Anil it's power set. You guessed RIGHT!