If ~$S$~ is the sum of the reciprocals of the 10 consecutive integers from 21 to 30, then ~$S$~ is between which of the following two fractions?
~$\frac{1}{3}$~and~$\frac{1}{2}$~
~$\frac{1}{4}$~and~$\frac{1}{3}$~
~$\frac{1}{5}$~and~$\frac{1}{4}$~
~$\frac{1}{6}$~and~$\frac{1}{5}$~
~$\frac{1}{7}$~and~$\frac{1}{6}$~
本题就是取最大值和最小值:
S=1/21+1/22+1/23+...+1/30 其中1/21是最大的,1/30最小。
当这10个数都等于1/21时,此时S最大。S=10/21
当这10个数都等于1/30时,此时S最小。S=10/30