Based in Maryland, is REVOLUTIONIZINg the world, one post at a time. With topics ranging from Biology to Multivariable Calculus, this website covers the entire academic spectrum.

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