Properties of Limits

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Let b and c be real numbers, let n be a positive integer, and let f and g be functions with the following limits.
                                 lim f(x) = L and lim g(x) = K
                                 ^{x-->c                  x-->c}

Scalar multiple:
lim [b f(x)] = bL
^x-->c

Sum or difference:
lim [f(x) ± g(x)] = L ± K
^x-->c

Product:
lim[f(x) * g(x)] = LK
^x-->c

Quotient:
lim f(x) / g(x) = L / K, privided Kdoes not = 0
^x-->c

Power:
lim [f(x)]ⁿ = L^n
x-->c