# 第一章总练习题 - 1 5x 8 1 2 3 | 5x 8 | 14 2 2 | 5 x...

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1 2 2 1 2 2 1 1 2 2 1 1 2 2 1 2 2 1 ( 1) (1 ) ( 1) (1 ) 1 ( 1) (1 2 )( 1) (1 ) 1 ( 1) ( 2 )( 1) (1 ) 1 ( 1) ( 2 )( 1) (1 ) 1 ( 2) ( 1) , (1 ) 1 n n n n n n n n n n n n n n n n n n n x nx x n x x n x nx x x n x x n x nx x x x n x n x nx x x x n x n x n x x n 即等式对于 成立 . , . | 2 | | | 2 5. ( ) (1) ( 4), ( 1), ( 2), (2) ; (2) ( ) ; (3) 0 ( ) (4) 2 2 4 2 1 1 2 2 2 4 2 2 (1) ( 4) 1, ( 1) 2, ( 2) 2, (2) 0. 4 1 2 2 4/ , 2 (2) ( ) x x f x x f f f f f x x f x x f f f f x x f x         由归纳原理 等式对于所有正整数都成立 的值 表成分段函数 : 是否有极限 ? 时是否有极限 0 0 0 2 2 2 2 2 2 2 2 ; 2, 2 0; 0, 0. (3) . lim ( ) 2, lim ( ) 0 lim ( ). (4) . lim ( ) lim ( 4/ ) 2, lim ( ) lim 2 2 lim ( ), lim ( ) 2. 6. ( ) [ 14], ( ) 14 (1) (0), x x x x x x x x x x x f x f x f x f x x f x f x f x f x x f x x f                  无因为 . 是不超过 的最大整数 0 0 2 2 3 , ( 2) ; 2 (2) ( ) 0 ?
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