Limits and Continuity

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12 Terms

1
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lim kf(x)=

k lim f(x)

2
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lim [f(x) ± g(x)] =

lim f(x) ± lim g(x)

3
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lim [f(x)*g(x)] =

lim f(x) * lim g(x)

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lim f(x)/g(x) =

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5
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0

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6
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1

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7
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DNE

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0

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9
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The limit does not exist

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10
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lim f(x) exists
f(a) is defined
lim f(x) = f(a)

f is continuous at a

11
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There exists a c in [a, b] such that f(c) = k

Intermediate Value Theorem
If f is continuous on [a, b] and k is between f(a) and f(b), then...

12
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L'Hopitals Rule

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