13.2 Finding Limits Algebraically

Limit of a sum

lim [f(x) + g(x)] = lim f(x) + lim g(x)

Limit of a difference

lim [f(x) - g(x)] = lim f(x) - lim g(x)

Limit of a constant multiple

lim [cf(x)] = c lim f(x)

Limit of a product

lim [f(x)g(x)] = [lim f(x)] [lim g(x)]

Limit of a quotient

lim [f(x)/g(x)] = [lim f(x)] / [lim g(x)]

Limit of a power

Limit of a root

Continuous

Of a function or curve; extending without break or irregularity