## University Calculus: Early Transcendentals (3rd Edition)

The answer is NO. Consider: $\Sigma_{n=1}^\infty a_n$ is a convergent series of positive numbers. Then, we have $2\Sigma_{n=1}^\infty a_n= \Sigma_{n=1}^\infty 2a_n$ also converges and $2a_n \geq a_n$ Thus, there will be no largest convergent series of positive numbers. Hence, the answer is NO.