1/ln(n+1)+1/ln(n+2)……1/ln(n+2013)>2013/n(n+2013)

题目详情

1/ln(n+1)+1/ln(n+2)……1/ln(n+2013) >2013/n(n+2013)

▼优质解答

答案和解析

∵0[1/n-1/(n+1)]+[1/(n+1)-1/(n+2)]+...+[1/(n+2012)-1/(n+2013)]
=1/n-1/(n+2013)
=2013/[n*(n+2013)]

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