Learn how to solve limits by factoring problems step by step online. Find the limit of -2x+3x^3 as x approaches infinity. Factor the polynomial -2x+3x^3 by it's greatest common factor (GCF): x. Evaluate the limit \lim_{x\to\infty }\left(x\left(-2+3x^2\right)\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.

Find the limit of -2x+3x^3 as x approaches infinity