Proof of 1-1 under an interval (0,1)
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
138632
Proof that if $a > 0$, then $\frac{1}{a} > 0$ using just field and order axioms
88259
prove that $\frac{1}{x}$ is not uniformly continuous on $(0,1)$
30860
Prove that $f(x)=0$ in $[-1,1]$.
108394
Proof of that every interval is connected
91000
Prove that $\frac{1}{a+1}0$
64108
how to prove $a+b-ab \le 1$ if $a,b \in [0,1]$?
91877
Let $|x|\leq1, |y|\leq 1$. Show that$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$
142785
How can I prove Holder inequality for $0<p<1$?
152223
If $0<r<1$ show that $r^n$ goes to $0$ as $n$ goes to 1.
106884
Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
90343
Proving the inequality $|e^z-1|\leq e^{|z|}-1$
61640
Prove c exists for f:[0,1] -> R
158335
Why is this $0 = 1$ proof wrong?
16392
Prove the Inequality on sequence
68774
Proving that $f(x)$ is less than or equal to $1+\pi/4$
63510
Prove: $\binom{n}{k}^{-1}=(n+1)\int_{0}^{1}x^{k}(1-x)^{n-k}dx$ for $0 \leq k \leq n$