1. 程式人生 > >8. 調和級數部分和的計算(Patial sum calculation of harmonic series)

8. 調和級數部分和的計算(Patial sum calculation of harmonic series)

題目:2.3-8. 用數值計算來體驗調和級數\!\(
\*UnderoverscriptBox[\(\[Sum]\), \(n = 1\), \(\[Infinity]\)]
\*FractionBox[\(1\), \(n\)]\) = 1/1 + 1/2 + ... +  1/n + ... 發散。
(1)對部分和數列 Subscript[S, n] = 1/1 + 1/2 + ... +  1/n,n=1,2,...,分別就 n = 10, 10^2, ..., 10^5計算其值,觀察{Subscript[S, n]}的發散性
(2)觀察用Mathematica軟體求級數和的命令計算該級數時顯示的結論是否說明級數發散?