Final answer to the problem
Step-by-step Solution
Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((2x^2+1)/(2+x^2))^((x^2-1)/ln(2x)) as x approaches 1. Evaluate the limit \lim_{x\to1}\left(\left(\frac{2x^2+1}{2+x^2}\right)^{\frac{x^2-1}{\ln\left(2x\right)}}\right) by replacing all occurrences of x by 1. Multiply 2 times 1. Calculate the power 1^2. Add the values 2 and 1.