高等数学基础无穷级数高数做题本（一）解答版第八章 无穷级数基础题选择题查看解析已掌握收入错题本题讨论不看本题#7579设级数 ∑n=1∞un\mathop{\sum }\limits_{n = 1}^{\infty }{u}_{n}n=1∑∞un 与 ∑n=1∞vn\mathop{\sum }\limits_{n = 1}^{\infty }{v}_{n}n=1∑∞vn 均发散,则‾\underline{\qquad}.A. ∑n=1∞(un+vn)\mathop{\sum }\limits_{n = 1}^{\infty }\left( {{u}_{n} + {v}_{n}}\right)n=1∑∞(un+vn) 必发散B. ∑n=1∞unvn\mathop{\sum }\limits_{n = 1}^{\infty }{u}_{n}{v}_{n}n=1∑∞unvn 必发散C. ∑n=1∞(∣un∣+∣vn∣)\mathop{\sum }\limits_{n = 1}^{\infty }\left( {\left| {u}_{n}\right| + \left| {v}_{n}\right| }\right)n=1∑∞(∣un∣+∣vn∣) 必发散D. ∑n=1∞(un2+vn2)\mathop{\sum }\limits_{n = 1}^{\infty }\left( {{u}_{n}^{2} + {v}_{n}^{2}}\right)n=1∑∞(un2+vn2) 必发散
