1.Proper nounA 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}
.