#math/calculus ![[Pasted image 20260927181754.png]] $\varepsilon>0$ means pick any desired closeness to $l$ for every $\varepsilon>0$ means any arbitrarily small closeness 0.1, 0.001 There is an $N$, means once your required closeness is specified, I can tell you how far out in the sequence you need to go For all $n\geq{}N$ mean from that point onward,, every term stays within the distance of $l$ Visually, you draw a horizontal band $(l-\varepsilon,\;l+\varepsilon). $ The statement says: no matter how thin you make that band, there is some point \(N\) after which every term of the sequence lies inside it.