Find the limit of $\sqrt{x^2+16}-\sqrt{x^2-9}$ as $x$ approaches $\infty $

Learn how to solve limits by rationalizing problems step by step online. Find the limit of (x^2+16)^(1/2)-(x^2-9)^(1/2) as x approaches infinity. Applying rationalisation. Multiply and simplify the expression within the limit. Cancel like terms x^2 and -x^2. Evaluate the limit \lim_{x\to\infty }\left(\frac{25}{\sqrt{x^2+16}+\sqrt{x^2-9}}\right) by replacing all occurrences of x by \infty .