Learn how to solve problems step by step online. Find the limit of ln(1+e^x)/((1+x^2)^(1/2)) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{\ln\left(1+e^x\right)}{\sqrt{1+x^2}}\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. Apply a property of infinity: k^{\infty}=\infty if k>1. In this case k has the value e. Infinity plus any algebraic expression is equal to infinity.

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