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Limita funkce

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<strong>Limita</strong> <strong>funkce</strong> podle Heineho<br />

Problém limity <strong>funkce</strong> se prˇevede na (jizˇ známy´) problém limity<br />

posloupnosti.<br />

Definice (limita <strong>funkce</strong> podle Heineho)<br />

Necht’ x0 je hromadny´m bodem D(f ).<br />

limita <strong>funkce</strong> f v bodě x0<br />

Číslo a nazveme<br />

pro kazˇdou posloupnost {xn},<br />

⇐⇒<br />

xn ∈ D(f ), xn = x0, xn → x0, platí f (xn) → a.<br />

Písˇeme<br />

lim f (x) = a.<br />

x→x0 Jirˇí Fisˇer (KMA, PrˇF UP Olomouc) KMA–MMAN1 Prˇednásˇka č. 7 5. listopadu 2007 3 / 29

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