Re: [分析] 均勻收斂
我覺得你可以這樣寫
Since f(x)=│x│ is cont. on [-1,1]
By WAT, there exists Pn(x) uniformly conv. to f , where Pn(x) are polynomials
and we find that Pn(x) are differentiable on [-1,1]
and Pn→f uniformly
But the limit of Pn(=f=│x│) is "not" differentiable on [-1,1]
(at x=0 , not diff.)
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 111.243.146.76
推
01/17 09:25, , 1F
01/17 09:25, 1F
討論串 (同標題文章)