vì các số11;14;...;6028 ÷ 2 >5
=>S>(2/2.4.5+2/4.5.6+....+2/2008.2009.2010)×5 + 5/6 + 8/24
=>S>(5/3.4.5-3/3.4.5+6/4.5.6-4/4.5.6 +......+2010/2008.2009.2010-2008/2008.2009.2010)×5 + 5/6 +2/6
=>S>(1/3.4-1/4.5+1/4.5-1/5.6+.....+1/2008.2009-1/2009-2010)×5 +7/6
=>S>(1/12-1/2009-2010)×5 +14/12
=>S>5/12+14/12-1/2009.2010
=>S>24/12 + 5 /12 - 1/2009.2010
mà 5/12 >1/2009.2010
=>S>2+x(x>0)
=>S>2
vậy S>2
=>S>2-1/2009-2010