It is known that \(\sum_{n=1}^{\infty}\frac1{2^n}=1\). Since \(\frac1{2^n+n}\le\frac1{2^n}\), what upper bound for \(\sum_{n=1}^{\infty}\frac1{2^n+n}\) does the comparison give directly?
A test that decides whether a series \(\sum a_n\) of nonnegative terms converges by comparing it with another series \(\sum b_n\) such that \(a_n\le b_n\).