## Random image thread

**category:**residue [glöplog]

damnit people:p

to calculate impossible values we use limits

and what's lim(x->0) of a/x ?

exactly -infinity and +infinity

to calculate impossible values we use limits

and what's lim(x->0) of a/x ?

exactly -infinity and +infinity

indeed, AND

both at the same time

but:

both at the same time

but:

Division by zero? Easy...

Just introduce a new number as Dr James Anderson did. Solved!

Proof:

well... Not so random, so here goes:

Just introduce a new number as Dr James Anderson did. Solved!

Proof:

well... Not so random, so here goes:

**Quote:**

both at the same time

No, however you defiine division, a/0 must equal a/0. That means, if you allow a/0 = infinity, AND a/0 = -infinity, then infinity = -infinity. And then nothing makes sense anymore. E.g. infinity > x and -infinity < x for any x, so x < x.

Related to that is the result that the limit of a/x as x approaches zero doesn't exist, unless a=0, in which case the limit is 0. There are limits from above and below, but since they're not equal, there isn't "a limit", because that too would imply that infinity = -infinity.

In practical applications though, you usually want floating point convenitions along these lines:

a/0 = sgn(a) * infinity, a != 0

0/0 = NaN

infinity/infinity = NaN

NaN != NaN

So birds.

stop the talk and post a random image

oh, and: lol@LiraNuna

**Quote:**

Haven't seen that one since I was a kid.. it was included in a book full of caricatures and satirical cartoons that my dad had.

Nvidia GeForceFX Graphics Demo

New Nvidia Graphics Demo?

New Nvidia Graphics Demo?

**Quote:**

Related to that is the result that the limit of a/x as x approaches zero doesn't exist, unless a=0, in which case the limit is 0. There are limits from above and below

Actually, if lim_x->a f(x)=inf, (even if it's just a left or right handed limit) then the limit is not considered to exist. The statement "lim_x->a f(x)=inf" specifies the way in which the limit does not exist. This is pretty important for other theorems which depend on the fact that a limit "exists".

As for division by zero, you can pretty much get any result with limits depending on how you specify the dividend. For example, lim_x->0 (4x/x) = 4.

since when is this random math talk? stfu and post random image! like this:

Thanks imageshack.