1 1 vote Consider a sequence of non-negative numbers $\left\{x_{n}: n=1,2, \ldots\right\}$. Which of the following statements cannot be true? $\sum_{n=1}^{\infty} x_{n}=\infty$ but $x_{n}$ decreases to zero as $n$ increases. $\sum_{n=1}^{\infty} x_{n}<\infty$ and each $x_{n}>0$ for each $n$. $\sum_{n=1}^{\infty} x_{n}=\infty$ and $x_{n} \geq 0.01$ infinitely often. $\sum_{n=1}^{\infty} x_{n}=\infty$ and each $x_{n} \leq 1 / n^{2}$. $\sum_{n=1}^{\infty} x_{n}<\infty$ and each $x_{n}>x_{n+1}$. Complex Analysis tifr2013 calculus series others + – admin 290 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
