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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