Limita a spojitost

[url=https://cs.wikipedia.org/wiki/Limita]Limita funkce[/url] je nástroj k popisu chování nějaké [url=https://matematika.cz/funkce]funkce[/url] v okolí určitého bodu. Je-li funkce spojitá, je limita rovna přímo funkční hodnotě. Zajímavé to začíná být právě tam, kde funkce spojitá není, nebo v místech, ve kterých není vůbec definovaná. Pomocí limity můžeme elegantně popsat i kudy funkce míří do nekonečna, tj. zda má nějaké asymptoty.[br][br][b][size=150]Příkazy pro určení limit[/size][/b][br]Limitu v daném bodě můžete určit přímým nástrojem GeoGebry [code]Limita(f,x0)[/code], [br]ve WolframAlpha [url=https://www.wolframalpha.com/input?i=limit+1%2Fx+as+x-%3E0]Limit[1/x, x -> 0][/url].
Definice spojitosti a limity funkce
Říkáme, že funkce f je v bodě [i]x0[/i] [color=#073763][b]spojitá[/b][/color], jestliže ke každému ε>0 existuje δ > 0 takové, že pro každé  [br]x ∈ (a − δ, a + δ) ∩ Df platí nerovnost:[br] f (x) − f (a)  <ε.[br][br]Říkáme, že funkce f má ve vlastním bodě [i]x0[/i] [color=#073763][b]limitu[/b][/color] A, jestliže pro každé okolí [math]O\left(A,\epsilon\right)[/math] čísla A existuje okolí [math]O\left(x0,\delta\right)[/math] bodu x0 takové, že je-li [math]x\in O\left(x0,\delta\right)\cap D\left(f\right)\Longrightarrow f\left(x\right)\in O\left(A,\epsilon\right)[/math]
Skok f(x) v bodech x = –2 a x = 2
Posuvníkem [i]x0[/i] zkoumáte spojitost funkce v bodě [i]x0[/i].[br] K libovolné šířce zeleného pásu [i][color=#38761D]eps[/color][/i] musíte nalézt modrý pás [i][color=#0000ff]delta[/color][/i], aby funkční hodnoty všech jeho bodů patřily i do pásu zeleného. Pokud se to nepovede, je funkce v bodě [i]x0[/i] nespojitá.
Řešený příklad
[size=150]Určete limitu funkce [math]f\left(x\right)=\frac{x-1}{x^2-1}[/math] v bodech nespojitosti a v nevlastních bodech [b]∞[/b],– [b]∞.[/b][/size]
Body [i]x = 1[/i] a [i]x = – 1[/i] nepatří do definičního oboru, funkce zde není spojitá. [br]Bod [i]x = 1[/i] je tzv. odstranitelnou nespojitostí, protože ať se blížíme k bodu zleva nebo zprava, dostáváme stejnou limitu funkčních hodnot.[br][math]\lim_{x\rightarrow1}f\left(x\right)=\frac{1}{2}[/math].[br]V bodě x = –1 má hyperbola vertikální asymptotu, limita zleva je –[b] ∞, [/b]blížíme-li se k x = –1 zprava, utíkají funkční hodnoty do [b]∞.[br][math]\lim_{x\rightarrow-1+}f\left(x\right)=\infty,\lim_{x\rightarrow-1-}f\left(x\right)=-\infty[/math][br][/b]
Definice spojitosti pomocí limity.
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[/img]
Literatura
[list][*]Vizualizace [url=https://www.geogebra.org/m/sz2UQ3vA#material/ESZ9C3jr]definice spojitosti v bodě[/url] od M. Vinklera.[/*][*][url=https://matematika.cz/limita-funkce]Limita funkce[/url] a [url=https://www.matweb.cz/spojitost-funkce/]Spojitost[/url] na serveru Matematika polopatě (Mathweb)[/*][*]Khan Academy: [url=https://cs.khanacademy.org/math/differential-calculus/dc-limits/dc-limits-intro/a/limits-intro]Úvod do limit[/url][/*][*]Isibalo: [url=https://youtu.be/tSzMZqrAqPc]Úvod do limity funkce[/url][br][/*][/list]
Úlohy k procvičení
Určete v bodech nespojitosti limitu funkce[br]a) [math]f\left(x\right)=\frac{x^2-1}{x-1}[/math][br]b) [math]g\left(x\right)=\frac{x-1}{x^2-1}[/math]
Úlohy k procvičení:
Řešení 1:
Úlohy k procvičení 2
Řešení 2:
Close

Information: Limita a spojitost