Learn how to solve problems step by step online. Find the limit of ln(1+e^(1+x^2)^(1/2))/x as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{\ln\left(1+e^{\left(\sqrt{1+x^2}\right)}\right)}{x}\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 \sqrt{\infty }=\infty.

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