---
title: Limite – definicija in računanje
description: "Limite funkcij: definicija, enostranske limite, limite v neskončnosti in tehnike računanja."
url: https://astra-ai.co/sl/videos/limite/
locale: sl
type: video-topic
keywords:
  - limite
published: 2026-10-01T18:16:57.446Z
updated: 2026-10-01T18:16:57.446Z
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---

# Limite

> Limita funkcije opisuje vrednost, h kateri se funkcija približuje, ko se spremenljivka približuje izbrani točki ali neskončnosti.

Limite so temelj diferencialnega in integralnega računa. Omogočajo natančen opis obnašanja funkcij v bližini točke ali v neskončnosti.

## Limita funkcije

Pišemo $\lim_{x \to a} f(x) = L$, če se vrednosti $f(x)$ poljubno približajo $L$, ko se $x$ približa $a$.

## Enostranske limite

Leva in desna limita obravnavata približevanje z leve oziroma desne. Za obstoj limite morata biti enaki.

## Limite v neskončnosti

$\lim_{x \to \infty} f(x)$ opisuje dolgoročno obnašanje. Uporabljamo ga pri asimptotah.

## Računanje limit

Uporabljamo algebraične poenostavitve, standardne limite (npr. $\lim_{x\to 0}\frac{\sin x}{x}=1$) in pravila L'Hôpitala pri nedoločenih oblikah.

## Zaključek

Razumevanje limit je nujno za odvode, integrale in analizo zveznosti funkcij.