Learn how to solve problems step by step online. Find the limit of 2x-1-(x-1)e^(-x+2) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(2x-1-\left(x-1\right)e^{\left(-x+2\right)}\right) by replacing all occurrences of x by \infty . Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. Infinity plus any algebraic expression is equal to infinity. Apply the formula: n^{- \infty }=0, where n=e.

Find the limit of 2x-1-(x-1)e^(-x+2) as x approaches infinity