Exercise
$\lim_{x\to\infty}\left(\ln\left(x-1\right)-\frac{\ln\left(x^2+1\right)}{2}\right)$
Step-by-step Solution
Learn how to solve operations with infinity problems step by step online. Find the limit of ln(x-1)+(-ln(x^2+1))/2 as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\ln\left(x-1\right)+\frac{-\ln\left(x^2+1\right)}{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. Infinity plus any algebraic expression is equal to infinity. The natural log of infinity is equal to infinity, \lim_{x\to\infty}\ln(x)=\infty.
Find the limit of ln(x-1)+(-ln(x^2+1))/2 as x approaches infinity
Final answer to the exercise
indeterminate