Learn how to solve problems step by step online. Find the limit of (9x^2+2x)^(1/2)-3x as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\sqrt{9x^2+2x}-3x\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so \infty ^2=\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.

Find the limit of (9x^2+2x)^(1/2)-3x as x approaches infinity