Lim, abbreviation for

limit, used in

Calculus and other advanced

Mathematics.

The

formula for finding a

derivative is:

lim __f(x+h)-f(x)__
h->0 h

The limit is used to

evaluate what a

function,

sequence,

series, et. al. is approaching as a certain

variable, in this case h, approaches a certain

number, in this case 0. Since a 0 in the

denominator usually makes a fraction undefined, the limit is used to make it

infinitely close to 0, or

approaching 0, without actually reaching it.

Limits are essential to learning

Calculus, and are the basis of further topics such as

L'Hopital's Rule and

Simpson's Rule.

And remember, the limit as x goes to

infinity of

^{1}/

_{x} is 0, but the limit as x goes to 0 of

^{1}/

_{x} is

infinity. What a crazy

world we live in.