看板 Math 關於我們 聯絡資訊
lim x-->0 COSx = 1 就是X趨近於0時,COSX會=1的證明 我試過用SIN的證法,可是沒辦法,請大家幫幫忙囉! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 59.112.231.17
suhorng :since cosine is continuous on (-\infty, \infty) 09/18 22:32
suhorng :lim_(x->0) cos(x) = cos(lim_(x->0) x) = cos(0)=1 09/18 22:32
sato186 :請問一下 要怎麼證明連續性啊? 09/18 23:13
jacky7987 :|cos(x)-cos(0)|=|-2sin(x/2)*sin(x/2)| 09/18 23:19
jacky7987 :<=2*|x/2|^2<|x|^2/2 let delta=(sqrt(2)epsilon)^2 09/18 23:20