Find the limit of $\frac{\sqrt{3+t}-\sqrt{5}}{\sqrt{5}-\sqrt{t^2+1}}$ as $t$ approaches $2$

Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((3+t)^(1/2)-*5^(1/2))/(5^(1/2)-(t^2+1)^(1/2)) as t approaches 2. Evaluate the limit \lim_{t\to2}\left(\frac{\sqrt{3+t}-\sqrt{5}}{\sqrt{5}-\sqrt{t^2+1}}\right) by replacing all occurrences of t by 2. Add the values 3 and 2. Cancel like terms \sqrt{5} and -\sqrt{5}. Add the values 4 and 1.