lim 2x³- 6x² + x -3 / x-3 x->3
resolução?????
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Olá Sk23mi!!
![\\ \mathsf{\lim_{x \to 3} \frac{2x^3 - 6x^2 + x - 3}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} \frac{2x^2(x - 3) + 1(x - 3)}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} \frac{(x - 3)[2x^2 + 1]}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} (2x^2 + 1) =} \\\\ \mathsf{2 \cdot (3)^2 + 1 =} \\\\ \mathsf{2 \cdot 9 + 1 =} \\\\ \boxed{\mathsf{19}}](https://tex.z-dn.net/?f=%5C%5C+%5Cmathsf%7B%5Clim_%7Bx+%5Cto+3%7D+%5Cfrac%7B2x%5E3+-+6x%5E2+%2B+x+-+3%7D%7Bx+-+3%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Clim_%7Bx+%5Cto+3%7D+%5Cfrac%7B2x%5E2%28x+-+3%29+%2B+1%28x+-+3%29%7D%7Bx+-+3%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Clim_%7Bx+%5Cto+3%7D+%5Cfrac%7B%28x+-+3%29%5B2x%5E2+%2B+1%5D%7D%7Bx+-+3%7D+%3D%7D+%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Clim_%7Bx+%5Cto+3%7D+%282x%5E2+%2B+1%29+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B2+%5Ccdot+%283%29%5E2+%2B+1+%3D%7D+%5C%5C%5C%5C+%5Cmathsf%7B2+%5Ccdot+9+%2B+1+%3D%7D+%5C%5C%5C%5C+%5Cboxed%7B%5Cmathsf%7B19%7D%7D "\\ \mathsf{\lim_{x \to 3} \frac{2x^3 - 6x^2 + x - 3}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} \frac{2x^2(x - 3) + 1(x - 3)}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} \frac{(x - 3)[2x^2 + 1]}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} (2x^2 + 1) =} \\\\ \mathsf{2 \cdot (3)^2 + 1 =} \\\\ \mathsf{2 \cdot 9 + 1 =} \\\\ \boxed{\mathsf{19}}")
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