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Speciální limity:<br />
sin x<br />
lim<br />
x→0 x<br />
= 1,<br />
<br />
lim 1 +<br />
x→+∞<br />
1<br />
x = e,<br />
x<br />
(1 + x)<br />
lim<br />
x→0<br />
m − 1<br />
= m (pro libovolná m ∈ R),<br />
x<br />
e<br />
lim<br />
x→0<br />
x −1<br />
= 1.<br />
x<br />
Jirˇí Fisˇer (KMA, PrˇF UP Olomouc) KMA–MMAN1 Prˇednásˇka č. 7 5. listopadu 2007 22 / 29