is created by David Witten, a mathematics and computer science student at Vanderbilt University. For more information, see the "About" page.

Limit Properties

There are many limit properties, and they make calculating limits easier.

So, if lim(f(x)) = L and lim(g(x)) = K

Scalar Multiple: lim(b*f(x)) = bL
Sum or difference: lim(f(x) +/- g(x)) = L +/- K
Product: lim(f(x)g(x)) = LK
Quotient: lim(f(x)/g(x)) = L/K, given K != 0
Power: lim(f(x)^n) = L^n

So, those are all logical, and they help calculate other limits

David Witten

Proving limits of square roots

Formally Define and Prove a Limit