\infty} \frac{2x^2+6x-5}{5x^2-x-1}=\\ lim_{x->\infty} \frac{2+\frac{6}{x}-\frac{5}{x^2}}{5-\frac{1}{x}-\frac{1}{x^2}}=\\ \frac{2+0-0}{5-0-0}=0.4 " alt="lim_{x->\infty} \frac{2x^2+6x-5}{5x^2-x-1}=\\ lim_{x->\infty} \frac{2+\frac{6}{x}-\frac{5}{x^2}}{5-\frac{1}{x}-\frac{1}{x^2}}=\\ \frac{2+0-0}{5-0-0}=0.4 " align="absmiddle" class="latex-formula">