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A.12: Poderes

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    119329
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    A continuación,\(x\) y\(y\) son números reales arbitrarios, y\(q\) es una constante arbitraria que es estrictamente mayor que cero.

    • \(q^0=1\)
    • \(q^{x+y}=q^xq^y\text{,}\)\(q^{x-y}=\frac{q^x}{q^y}\)
    • \(q^{-x}=\frac{1}{q^x}\)
    • \(\big(q^x\big)^y=q^{xy}\)
    • \(\lim\limits_{x\rightarrow\infty}q^x=\infty\text{,}\)\(\lim\limits_{x\rightarrow-\infty}q^x=0\)si\(q \gt 1\)
    • \(\lim\limits_{x\rightarrow\infty}q^x=0\text{,}\)\(\lim\limits_{x\rightarrow-\infty}q^x=\infty\)si\(0 \lt q \lt 1\)
    • La gráfica de\(2^x\) se da a continuación. La gráfica de\(q^x\text{,}\) para cualquiera\(q \gt 1\text{,}\) es similar.

    This page titled A.12: Poderes is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Joel Feldman, Andrew Rechnitzer and Elyse Yeager via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.