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squeeze theorem
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Contents
1
English
1.1
Pronunciation
1.2
Proper noun
1.2.1
Synonyms
English
edit
English
Wikipedia
has an article on:
squeeze theorem
Wikipedia
Pronunciation
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Audio
(
US
)
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(
file
)
Proper noun
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squeeze
theorem
(
calculus
)
A theorem used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed. Supposing that
g
(
x
)
≤
f
(
x
)
≤
h
(
x
)
{\displaystyle g(x)\leq f(x)\leq h(x)\,}
and also that
lim
x
→
a
g
(
x
)
=
lim
x
→
a
h
(
x
)
=
L
.
{\displaystyle \lim _{x\to a}g(x)=\lim _{x\to a}h(x)=L.\,}
then
lim
x
→
a
f
(
x
)
=
L
.
{\displaystyle \lim _{x\to a}f(x)=L.}
Synonyms
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pinching theorem
sandwich theorem
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