[微積] 連乘的極限

[kusoayan (瑋哥)]

被同學問倒了QQ

lim (1/2)*(3/4)*(5/6)*...*((2n-1)/2n)
n->inf

祝大家新年快樂

--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 36.235.218.116
→ wayn2008    :lim (2n!)/(2^n*n!)^2 as n->inf =0
→ wayn2008    :lim (2n)!/(2^n*n!)^2 as n->inf =0 這樣才對orz
→ kusoayan    :我也有寫到上面這一步欸 可是這樣怎麼說他會跑到0？
→ suhorng     :可以用 Stirling's approximation
→ kusoayan    :喔喔喔喔 出來了