SOME THEOREMS ON LIMITS

I. If f(x) = c, a constant, then lim f(x) = c

x --> a

If lim f(x) = A and lim g(x) = B

x --> a x --> a

II. lim[kf(x)] = kA

x --> a

III. lim[f(x) + g(x)] = A + B

x --> a

IV. lim[f(x) * g(x)] = A * B

x --> a

V. lim[f(x)/g(x)] = A/B

x --> a

VI. lim[f(x)]1/n = A1/n

x --> a

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