Find the limit of $\frac{\left(3x-2\right)^2\left(2x+5\right)^4}{6x^6-7x^3+8}$ as $x$ approaches $\infty $

Learn how to solve operations with infinity problems step by step online. Find the limit of ((3x-2)^2(2x+5)^4)/(6x^6-7x^3+8) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{\left(3x-2\right)^2\left(2x+5\right)^4}{6x^6-7x^3+8}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so \infty ^3=\infty. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.