Find the limit of $\sqrt{2x^2+3}-\sqrt{2x^2-5}$ as $x$ approaches $\infty $

Learn how to solve integrals of exponential functions problems step by step online. Find the limit of (2x^2+3)^(1/2)-(2x^2-5)^(1/2) as x approaches infinity. Applying rationalisation. Multiply and simplify the expression within the limit. Cancel like terms 2x^2 and -2x^2. Evaluate the limit \lim_{x\to\infty }\left(\frac{8}{\sqrt{2x^2+3}+\sqrt{2x^2-5}}\right) by replacing all occurrences of x by \infty .