Banach's fixed point theorem application
Show that the following equation only has one root in $\mathbb{R}$:
$cos(\tfrac{sin(x+2) + 7x + 1}{5} ) - 2x$
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.
Martin
1.6K
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
- 746 views
- $10.00
Related Questions
- [Intro to Topology] Verify if $K$ is compact
- Convex subset
- Knot Theory, 3-colourbility of knots
- Show that ${(x,\sin(1/x)) : x∈(0,1]} ∪ {(0,y) : y ∈ [-1,1]}$ is closed in $\mathbb{R^2}$ using sequences
- Given locally limited $f:[0,1]→\mathbb{R}$, show that $Graph(f)$ is closed in $\mathbb{R^2}$ ⟺ $f$ is continuous using sequences
- Generalization of the Banach fixed point theorem
- Let $(X, ||\cdot||)$ be a normed space. Let $\{x_n\}$ and $\{y_n\}$ be two Cauchy sequences in X. Show that the seqience Show that the sequence $λ_n = ||x_n − y_n|| $ converges.
- Prove that $S \subseteq X$ is nowhere dense iff $X-\overline{S}$ is dense.
Should read only one root*.