lim x²-3x+2/2x²-5x+2 x tende a 2
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a resposta está na foto, caso não entender alguma coisa , pode perguntar.
cometi um erro no x" , fica 0,5 e nao 1,5 , mudando então a resposta para 1/1,5 que é o mesmo que 2/3
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Boa tarde Natyara!
Solução!
![\lim_{x \to 2} \dfrac{ x^{2}-3x+2}{2 x^{2} -5x+2} \\\\\\\
\lim_{x \to 2} \dfrac{(x-2).(x-1)}{(x-2).(x- \frac{1}{2}) } \\\\\\\
\lim_{x \to 2} \dfrac{(x-1)}{(x- \frac{1}{2}) } \\\\\\\
Agora~~e~~so~~substituir~~x=2\\\\\\\
\lim_{x \to 2} \dfrac{(2-1)}{(2- \frac{1}{2}) } \\\\\\\
\lim_{x \to 2} \dfrac{1}{( \frac{4-1}{2}) } \\\\\\\
\lim_{x \to 2} \dfrac{1}{\frac{3}{2} } \\\\\\\
\lim_{x \to 2} \dfrac{2}{3} \\\\\\\\\\\\\](https://tex.z-dn.net/?f=+%5Clim_%7Bx+%5Cto+2%7D++%5Cdfrac%7B+x%5E%7B2%7D-3x%2B2%7D%7B2+x%5E%7B2%7D+-5x%2B2%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Clim_%7Bx+%5Cto+2%7D++%5Cdfrac%7B%28x-2%29.%28x-1%29%7D%7B%28x-2%29.%28x-+%5Cfrac%7B1%7D%7B2%7D%29+%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Clim_%7Bx+%5Cto+2%7D++%5Cdfrac%7B%28x-1%29%7D%7B%28x-+%5Cfrac%7B1%7D%7B2%7D%29+%7D+%5C%5C%5C%5C%5C%5C%5C%0AAgora%7E%7Ee%7E%7Eso%7E%7Esubstituir%7E%7Ex%3D2%5C%5C%5C%5C%5C%5C%5C%0A%5Clim_%7Bx+%5Cto+2%7D++%5Cdfrac%7B%282-1%29%7D%7B%282-+%5Cfrac%7B1%7D%7B2%7D%29+%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Clim_%7Bx+%5Cto+2%7D++%5Cdfrac%7B1%7D%7B%28+%5Cfrac%7B4-1%7D%7B2%7D%29+%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Clim_%7Bx+%5Cto+2%7D++%5Cdfrac%7B1%7D%7B%5Cfrac%7B3%7D%7B2%7D+%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Clim_%7Bx+%5Cto+2%7D+++%5Cdfrac%7B2%7D%7B3%7D+%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%0A%0A%0A%0A%0A "\lim_{x \to 2} \dfrac{ x^{2}-3x+2}{2 x^{2} -5x+2} \\\\\\\
\lim_{x \to 2} \dfrac{(x-2).(x-1)}{(x-2).(x- \frac{1}{2}) } \\\\\\\
\lim_{x \to 2} \dfrac{(x-1)}{(x- \frac{1}{2}) } \\\\\\\
Agora~~e~~so~~substituir~~x=2\\\\\\\
\lim_{x \to 2} \dfrac{(2-1)}{(2- \frac{1}{2}) } \\\\\\\
\lim_{x \to 2} \dfrac{1}{( \frac{4-1}{2}) } \\\\\\\
\lim_{x \to 2} \dfrac{1}{\frac{3}{2} } \\\\\\\
\lim_{x \to 2} \dfrac{2}{3} \\\\\\\\\\\\\")
Boa tarde!
Bons estudos!
Solução!
Boa tarde!
Bons estudos!
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