Proof
(related to Proposition: Limit of the Identity Function)
Context
- Let $a\in\mathbb R.$
- Let $f:\mathbb R\to\mathbb R,$ $f(x)=x$ be the identity function.
Hypothesis
Implications
- Then for $\delta:=\epsilon$ it holds that for all $x$ with $0 < |x-a| < \delta$ we have that $|f(x)-a|=|x-a| < \epsilon.$
Conclusion
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References
Bibliography
- Kane, Jonathan: "Writing Proofs in Analysis", Springer, 2016