MathDB
Problems
Contests
Undergraduate contests
Putnam
1959 Putnam
B3
B3
Part of
1959 Putnam
Problems
(1)
Putnam 1959 B3
Source: Putnam 1959
6/15/2022
Give an example of a continuous real-valued function
f
f
f
form
[
0
,
1
]
[0,1]
[
0
,
1
]
to
[
0
,
1
]
[0,1]
[
0
,
1
]
which takes on every value in
[
0
,
1
]
[0,1]
[
0
,
1
]
an infinite number of times.
Putnam
function
continuity
infinite