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Guidance on a proof regarding the uniqueness/existence of the nth root of x.
So in a previous proof I had to show that given $y\in\mathbb{R},n\in\mathbb{N}$ and $\epsilon >0$, show that for some $\delta>0$, if $u\in\mathbb{R}$ and $|u-y|<\delta$ then $|u^n-y^n|<\...
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Is given statement indeed true?
I saw saw the statement I am trying to prove in "a proof of lub property" in a Mathematics Stack Exchange post. The statement I am trying to prove is :
$∃\ b ∈ \mathbb {R},(b < a\
\text { ...
- 556
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Can and can’ts of proving inequalities
I was doing the following question and wonder if my proof below is valid
Prove that $\frac{x+z}{y+z} > \frac{x}{y} \to x<y$ if and only if $x<y$
To prove that $\frac{x+z}{y+z} > \frac{x}{...
