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

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

@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?

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?

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

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

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

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.

Yo mamma is easier than finding a trivial solution