(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=
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(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=(1+1/2)(1+1/3)(1+1/4)...(1+1/2
(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=
(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=
(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=
原式＝3/2×4/3×5/4×6/5×……×2009/2008×2010/2009
＝1005.