Quake3World

MKJ wrote:toxic, a question for you

0 x infinity = what ?

its an indeterminant form. just like 1^infinity, 0/0 and infinity/infinity. If you take a limit as x infinity then it will depend on the example. A good example of 0/0 (ie 0*inf depending how you write it) would be the limit of sin(x)/x as x 0.

ToxicBug wrote:

MKJ wrote:toxic, a question for you

0 x infinity = what ?

its an indeterminant form. just like 1^infinity, 0/0 and infinity/infinity. If you take a limit as x infinity then it will depend on the example. A good example of 0/0 (ie 0*inf depending how you write it) would be the limit of sin(x)/x as x 0.

Indeterminate :icon26:

ToxicBug wrote:
The point is that you can't count to infinity, because no matter how fast you count, you will be counting forever and ever

In calculus you don't "use" infinity, when you find a limit for example you define some number that approaches infinity, but isn't "infinity".

Trust me, you don't have to tell me that. I'm obviously refering to limits, euler sums, and integrals.

duffman91 wrote:

ToxicBug wrote:
The point is that you can't count to infinity, because no matter how fast you count, you will be counting forever and ever

In calculus you don't "use" infinity, when you find a limit for example you define some number that approaches infinity, but isn't "infinity".

Trust me, you don't have to tell me that. I'm obviously refering to limits, euler sums, and integrals.

I know that you're an engineer :icon14:

ToxicBug wrote:

MKJ wrote:toxic, a question for you

0 x infinity = what ?

its an indeterminant form. just like 1^infinity, 0/0 and infinity/infinity. If you take a limit as x infinity then it will depend on the example. A good example of 0/0 (ie 0*inf depending how you write it) would be the limit of sin(x)/x as x 0.

gg
+1 smarts

MKJ wrote:

ToxicBug wrote:

MKJ wrote:toxic, a question for you

0 x infinity = what ?

its an indeterminant form. just like 1^infinity, 0/0 and infinity/infinity. If you take a limit as x infinity then it will depend on the example. A good example of 0/0 (ie 0*inf depending how you write it) would be the limit of sin(x)/x as x 0.

gg
+1 smarts

By the way, if you would like to know the limit of sin(x)/x as x 0, you can find it by using L'Hopital's rule, ie when the limit f(x)/g(x) is in a 0/0 or inf/inf form, it equals to f'(x)/g'(x).

f'(x) = d/dx sin(x) = cos(x)
g'(x) = d/dx x = 1

Therefore the limit of sin(x)/x as x 0
= lim x->0 cos(x)/1
= cos(0)/1
= 1/1
= 1

So the limit of sin(x)/x as x 0 is 1.