27 lines
711 B
Markdown
27 lines
711 B
Markdown
# Neurčité výrazy
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$\frac{cokoli}{0}$, $\frac{0}{0}$, $\frac{\infty}{\infty}$, ${\infty}-{\infty}$, $1^{\infty}$, $0^{\infty}$, ${\infty}^{\infty}$, ${\infty}^{0}$, ${0}*{\infty}$
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- výraz, který nemá konkrétní hodnotu
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## Počty s nekonečny
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- $\infty + \infty = \infty$
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- $-\infty - \infty = - \infty$
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- $\infty * \infty = \infty$
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- $(-\infty) * (-\infty) = -\infty$
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- $k \in R; \ n \in \mathbb N, \ a \in \mathbb R$ <br>
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- $-\infty \pm k = -\infty$
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- $\infty \pm k = \infty$
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- $k * \infty =$
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- $\infty: k > 0$
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- $-\infty: k < 0$
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- $\frac{k}{\pm\infty} = 0$
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- $\sqrt[n]{\infty} = \infty$
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- $(a)^\infty =$
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- $0: a \in (0,1)$
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- $\infty: a > 1$
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- $\infty^n = \infty$ |