AP Calculus AB - Properties of Limits

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9 Terms

1
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Constant Rule

lim k = …

k

2
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Identity Rule

lim x as x→c = …

c

3
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Coefficient Rule

lim[b*f(x)] = …

b * lim f(x)

4
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Sum and Differences Rule

lim [f(x) +- g(x)] = …

lim f(x) +-lim g(x)

5
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Product Rule

lim [f(x) * g(x)] = …

lim f(x) * lim g(x)

6
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Quotient Rule

lim [f(x)/g(x)] = …

(lim f(x))/(lim g(x))

7
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Power Rule

lim[f(x))^x = …

[lim f(x)]^x

8
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Composite Function Rule

lim f(g(x)) = …

f(lim g(x))

9
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Root Rule

lim √f(x) = …

√[lim f(x)]