WOLFRAM

DEMONSTRATIONS
PROJECT
Bolzano's Theorem
a
1
.
5
b
4
.
5
1
2
3
4
5
6
x

1
.
0

0
.
5
0
.
0
0
.
5
1
.
0
sin
(
x
)
Bolzano's theorem states that if
f
is a continuous function in the closed interval
[
a
,
b
]
with
f
(
a
)
and
f
(
b
)
of opposite sign, then there is a
c
in the open interval
(
a
,
b
)
such that
f
(
c
)
=
0
.