diff --git a/编写小组/讲义/子数列问题&考试易错点汇总(解析版).md b/编写小组/讲义/子数列问题&考试易错点汇总(解析版).md index 3e8e861..c7dcc09 100644 --- a/编写小组/讲义/子数列问题&考试易错点汇总(解析版).md +++ b/编写小组/讲义/子数列问题&考试易错点汇总(解析版).md @@ -2,12 +2,6 @@ tags: - 编写小组 --- -(课前测) -设$\{x_n\}$是数列,下列命题中不正确的是( ) -A. 若$\lim\limits_{n \to \infty} x_n = a$,则$\lim\limits_{n \to \infty} x_{2n} = \lim\limits_{n \to \infty} x_{2n+1} = a$ -B. 若$\lim\limits_{n \to \infty} x_{2n} = \lim\limits_{n \to \infty} x_{2n+1} = a$,则$\lim\limits_{n \to \infty} x_n = a$ -C. 若$\lim\limits_{n \to \infty} x_n = a$,则$\lim\limits_{n \to \infty} x_{3n} = \lim\limits_{n \to \infty} x_{3n+1} = a$ -D. 若$\lim\limits_{n \to \infty} x_{3n} = \lim\limits_{n \to \infty} x_{3n+1} = a$,则$\lim\limits_{n \to \infty} x_n = a$ >[!example] **例1**(拉链定理)  >设级数$\sum\limits_{n=1}^{\infty}(a_{2n-1}+a_{2n})$收敛于S,且$\lim\limits_{n \to \infty}a_n=0$,证明:级数$\sum\limits_{n=1}^{\infty}a_n$收敛于S。