※ 引述《metastable (亚稳)》之铭言： : pn qn : lim (Σ 1/k - Σ 1/k) : n→∞ k=1 k=1 : pn : = lim Σ 1/k (r is euler constant) : n→∞ qn+1 : (1+ 1/2 +.....+1/n) r + ln(n) L : lim --------------------- = lim -------------- = 0 : n n : (1+ 1/2 + ....+1/2n) r + ln(2n) L : lim --------------------- = lim -------------- = 0 : n n : (1+ 1/2 +.....+1/n) r + ln(n) L : lim --------------------- = lim -------------- = 1 : ln(n) ln(n) : 我看不懂上面三行是怎来的 请帮我解释 Euler's constant is defined by Let H = 1 + (1/2) + (1/3) + ... + (1/n) γ = lim [ H - ln(n) ] n→∞ ---- ( 1 + ... + 1/n ) H - ln(n) + ln(n) lim ------------------- = lim ------------------- n→∞ n n→∞ n γ + ln(n) = lim ----------- n→∞ n L' 1 = lim ----- = 0 n→∞ n 其余同理 --

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