→ zptdaniel:第一題為TRUE 123.194.96.150 07/15 20:15
※ 引述《Meiyuin (Mei)》之銘言：
: 0.5-0.05+0.05-0.005+.......+(-1)^(n+1) 5*10^(-n)+.... =__________
: --------------------------------
: True or False
: (1) n! > a^n for any positive real number a as n->∞
考率一個無窮級數: sigma (a^n/n!)
判定這個級數的歛散,假如"收斂" 其一般項在n->∞時
極植為0. 所以 n!>a^n for any positive real number a as n->∞
: (2) f(x)=x^n , we can find the extremum on R
: at least one point for any positive integer n
false,舉n為3為例即可.
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