calcular o limite da função lim x²-4 / x²-2x quando x=-2
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Boa noite!
Solução!
Esse limite se resolve unicamente por substituição.
![\displaystyle \lim_{x \to 2} \frac{ x^{2} -4}{ x^{2} -4x} \\\\\\\
\displaystyle \lim_{x \to 2} \frac{ (-2)^{2} -4}{ (-2)^{2} -4(-2)} \\\\\\\
\displaystyle \lim_{x \to 2} \frac{ 4-4}{ (4 +8)} \\\\\\\
\displaystyle \lim_{x \to 2} \frac{ 0}{ (12)}=0 \\\\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle+++%5Clim_%7Bx+%5Cto+2%7D++%5Cfrac%7B+x%5E%7B2%7D+-4%7D%7B+x%5E%7B2%7D+-4x%7D+%5C%5C%5C%5C%5C%5C%5C%0A%0A%5Cdisplaystyle+++%5Clim_%7Bx+%5Cto+2%7D++%5Cfrac%7B+%28-2%29%5E%7B2%7D+-4%7D%7B+%28-2%29%5E%7B2%7D+-4%28-2%29%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Cdisplaystyle+++%5Clim_%7Bx+%5Cto+2%7D++%5Cfrac%7B+4-4%7D%7B+%284+%2B8%29%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Cdisplaystyle+++%5Clim_%7Bx+%5Cto+2%7D++%5Cfrac%7B+0%7D%7B+%2812%29%7D%3D0+%5C%5C%5C%5C%5C%5C%5C%0A%0A%0A "\displaystyle \lim_{x \to 2} \frac{ x^{2} -4}{ x^{2} -4x} \\\\\\\
\displaystyle \lim_{x \to 2} \frac{ (-2)^{2} -4}{ (-2)^{2} -4(-2)} \\\\\\\
\displaystyle \lim_{x \to 2} \frac{ 4-4}{ (4 +8)} \\\\\\\
\displaystyle \lim_{x \to 2} \frac{ 0}{ (12)}=0 \\\\\\\")
Boa noite!
Bons estudos!
Solução!
Esse limite se resolve unicamente por substituição.
Boa noite!
Bons estudos!
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