常数项级数举例 1+3+5+…+(2n-1)+…=∑(2n-1) ×c ∴十 3 n+1 +…=∑ n+1 oo 1+-+—+… 十 33 3 3 1-1+1-1+…+(-1)”+…c∑(-) =1 (-1) oo n-1 1--+ +…=∑ (-1) 23 ns常数项级数举例 1 3 5 (2 1) + + + + − + n 1 1 1 2 3 1 n + + + + + 2 1 1 1 1 1 3 3 3n− + + + + + 1− 1+ 1− 1++ (−1) n−1 + 1 1 1 ( 1) 1 2 3 n n − − − + − + + 1 (2 1) n n  = = −  1 1 n n 1  = = +  1 1 1 3 n n  − = =  1 1 ( 1)n n  − = = −  1 1 ( 1)n n n  − = − = 