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13.2 Finding Limits Algebraically
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Pre-Calculus
Limits
Algebraically
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1
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Limit of a sum
lim [f(x) + g(x)] = lim f(x) + lim g(x)
2
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Limit of a difference
lim [f(x) - g(x)] = lim f(x) - lim g(x)
3
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Limit of a constant multiple
lim [cf(x)] = c lim f(x)
4
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Limit of a product
lim [f(x)g(x)] = [lim f(x)] [lim g(x)]
5
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Limit of a quotient
lim [f(x)/g(x)] = [lim f(x)] / [lim g(x)]
6
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Limit of a power
7
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Limit of a root
8
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Continuous
Of a function or curve; extending without break or irregularity