求下列数列的极限：lim(n→∞) [1/(2*5

求下列数列的极限：lim(n→∞) [1/(2*5)+1/(5*8)+1/(8*11)+……+1/(3n-1)*(3n+

2个回答

1/(2*5)+1/(5*8)+1/(8*11)+……+1/(3n-1)*(3n+2)]
=1/3[1/2-1/5+1/5-1/8+1/8-1/11+……+1/(3n-1)-1/(3n+2)]
=1/3[1/2-1/(3n+2)]
lim(n→∞) 1/3[1/2-1/(3n+2)]=1/6

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