Unit one flashcards

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Last updated 1:29 AM on 9/20/26
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8 Terms

1
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What is the first condition that makes a function f defined?

f( c) is defined

2
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What is the second condition that make a function continuous at C?

lim f(x) exist

x-c

3
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What is the third condition that makes a function f continuous at c?

f(c ) = lim f(x)

x-c

4
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sin trig identity for limits

lim = sinx/x= 1

x-0

5
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cos identity for limits

lim = 1-cos x/x=0

x-0

6
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first condition for IVT

f(x) must be continuous on the closed interval (a,b)


7
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Second condition for IVT

f(a) is not equal to f(b)

8
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third condition for IVT

f( c) has to be in between f(a) and f(b)