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

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