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OpenStudy (anonymous):
prove 1/2001=(1/2001.2002)+1/2002.2003)+1/2003.2004)+1/2004.2005)+1/2005.2006)+1/2006.2007)+(1/2007.2008)+(1/2008.2009)+(1/2009.2010)+(1/2010.2011)+(1/2011)
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