![image](https://tex.z-dn.net/?f=lim%7Bx-%3E%5Cinfty%7D+%5Cfrac%7B3x%5E3%2B4x%2B2%7D%7B4x%5E2%2B6x%2B1%7D%3D%5C%5C%5C%5Clim_%7Bx-%3E%5Cinfty%7D+%5Cfrac%7B3x%2B%5Cfrac%7B4%7D%7Bx%7D%2B%5Cfrac%7B2%7D%7Bx%5E2%7D%7D%7B4%2B%5Cfrac%7B6%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7Bx%5E2%7D%7D%3D%5C%5C%5C%5C%7C%5Cfrac%7B%5Cinfty%7D%7B4%7D%7C%3D%5Cinfty)
\infty} \frac{3x^3+4x+2}{4x^2+6x+1}=\\\\lim_{x->\infty} \frac{3x+\frac{4}{x}+\frac{2}{x^2}}{4+\frac{6}{x}+\frac{1}{x^2}}=\\\\|\frac{\infty}{4}|=\infty" alt="lim{x->\infty} \frac{3x^3+4x+2}{4x^2+6x+1}=\\\\lim_{x->\infty} \frac{3x+\frac{4}{x}+\frac{2}{x^2}}{4+\frac{6}{x}+\frac{1}{x^2}}=\\\\|\frac{\infty}{4}|=\infty" align="absmiddle" class="latex-formula">
так как нет неопределенности вида |0/0| или