\infty} \frac{x^4+3x+1}{3x^4+5}=lim_{x->\infty} \frac{1+\frac{3}{x^2}+\frac{1}{x^4}}{3+\frac{5}{x^4}}=\frac{1+0+0}{3+0}=\frac{1}{3}" alt="lim_{x->\infty} \frac{x^4+3x+1}{3x^4+5}=lim_{x->\infty} \frac{1+\frac{3}{x^2}+\frac{1}{x^4}}{3+\frac{5}{x^4}}=\frac{1+0+0}{3+0}=\frac{1}{3}" align="absmiddle" class="latex-formula">