continuous function
let f: R->R be a continuous function such that f(0)=f(2)=1. then there exists c>0 such that f(c)=c
prove this.
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
Erdos
4.8K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1436 views
- $4.00
Related Questions
- real analysis
- separability and completeness
- Domain question
- Prove that convergence of the infinite series of integral of absolue values of a sequence of functions implies convergence
- Rouche’s Theorem applied to the complex valued function $f(z) = z^6 + \cos z$
- real analysis
- Limit of an Integral of a $C^\infty$-Smooth Function with Compact Support
- Prove that $S \subseteq X$ is nowhere dense iff $X-\overline{S}$ is dense.
