Matematika pro Kybernetiku Lecture Notes
Matematika pro Kybernetiku Lecture Notes
Matematika pro Kybernetiku Lecture Notes
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Věta 3.7:<br />
Je-li lim<br />
x→x0<br />
f (x) = a , lim<br />
x→x0<br />
g(x) = b, pak<br />
a) lim (f (x) ± g(x)) = a ± b,<br />
x→x0<br />
b) lim (f (x) · g(x)) = a · b,<br />
x→x0<br />
c) lim<br />
x→x0<br />
f (x)<br />
g(x)<br />
= a<br />
b ,<br />
kdykoliv je výraz na pravé straně definován.<br />
Zˇrejmě: lim<br />
x→x0<br />
f (x) = a ⇔ lim<br />
x→x0<br />
(f (x) − a) = 0.