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        <title>Topologia e conjuntos em exercícios exercicios</title>
        <description></description>
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       <dc:date>2026-04-10T09:29:23+00:00</dc:date>
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        <title>Topologia e conjuntos em exercícios</title>
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        <dc:date>2020-11-06T14:45:05+00:00</dc:date>
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        <title>exercicios:desmodulos</title>
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        <description>Determine para quais valores de $x$ valem as seguintes afirmações:

 $\frac{|x - 2|}{|x + 5|} &lt; 10$;

 $\frac{|x + 1|}{x - 3} \leq 0$;

 $|x + 1| + |2x + 4| \geq 0$;

 $|4 - 2x| - |x + 1| \leq 2$.</description>
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        <dc:date>2020-11-06T14:45:05+00:00</dc:date>
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        <title>exercicios:funcoes</title>
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        <description>Dizemos que $f: \mathbb R \to \mathbb R$ é uma função par se, para todo $x \in \mathbb R$, $f(x) = f(-x)$. Dizemos que é uma função ímpar se $-f(x) = f(-x)$. 

 Se $n$ é par, mostre que $f(x) = x^n$ é par. 

 Se $n$ é ímpar, mostre que $f(x) = x^n$ é ímpar. 

 Se $f$ e $g$ são funções pares, mostre que a função $h$ dada por $h(x) = f(x) + g(x)$ é par. 

 Se $f$ é par e $g$$f \circ g$$f$$f$$f(x) = 0$$x$$f: \mathbb R \to \mathbb R$$f_p$$f_p(x) = f(x) + f(-x)$$f_i$$f_i(x) = f(x) - f(-x)$…</description>
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        <dc:date>2020-11-06T14:45:05+00:00</dc:date>
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        <title>exercicios:modulos</title>
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        <description>Sejam $x, y \in \mathbb R$. Mostre as seguintes afirmações:

 $||x|| = |x|$;

 $|x^2| = x^2$;

 $|x - y| = |y - x|$.</description>
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