I have this limit to evaluate $\lim\nolimits_{n \rightarrow +\infty} \int_{0}^{2} \arctan \left(\frac{1}{1+x^n}\right) dx.$
I have no idea how to solve this homework problem. Help!
I have this limit to evaluate $\lim\nolimits_{n \rightarrow +\infty} \int_{0}^{2} \arctan \left(\frac{1}{1+x^n}\right) dx.$
I have no idea how to solve this homework problem. Help!
HINT
$\arctan$ is bounded.