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Mathematics
Mathematics
Problem
- If
g
:
[
a
,
b
]
g: [a, b]
g
:
[
a
,
b
]
onto
[
a
,
b
]
[a, b]
[
a
,
b
]
is continuous, then show that there is some
c
∈
[
a
,
b
]
c \in [a, b]
c
∈
[
a
,
b
]
such that
g
(
c
)
=
c
g(c) = c
g
(
c
)
=
c
.
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