13.2 Finding Limits Algebraically

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Pre-Calculus

Limits

Algebraically

Limit of a sum

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

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Limit of a difference

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

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Limit of a constant multiple

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

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Limit of a product

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

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Limit of a quotient

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

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Limit of a power

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Limit of a root

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Continuous

Of a function or curve; extending without break or irregularity

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