∑(∞,n=1)2nx^(2n-1)/(2n-1)收敛域及和函数1.收敛域显然收敛区间为(-1,1)2nx^(2n-1)/(2n-1)=(2n-1+1)x^(2n-1)/(2n-1)=x^(2n-1)+x^(2n-1)/(2n-1)∑(∞,n=1)x^(2n-1)在x=±1时发散,所以收敛域为(-1,1)2.和函数2nx^(2n...