0 votes 0 votes Let $\left\{a_{n}\right\}$ be a decreasing sequence such that $\displaystyle{}\sum_{n=1}^{\infty} a_{n}$ is convergent. Prove that the sequence $\left\{n a_{n}\right\}$ goes to zero as $n \rightarrow \infty$. Others isi2019-pcb-mathematics descriptive + – admin asked Aug 8, 2022 • edited Aug 27, 2022 by Lakshman Bhaiya admin 314 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.