1/1X3+1/3X5···+1/33X35

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1/1X3+1/3X5···+1/33X351/1X3+1/3X5···+1/33X351/1X3+1/3X5···+1/33X35裂项:因为1/n(n+2)=2[1/n-1/(n+2)]所以2(1/

1/1X3+1/3X5···+1/33X35
1/1X3+1/3X5···+1/33X35

1/1X3+1/3X5···+1/33X35
裂项:因为1/n(n+2)=2[1/n-1/(n+2)]
所以 2(1/1-1/3+1/3-1/5+.1/33-1/35)
=2(1-1/35)