作者LuisSantos (^______^)
看板trans_math
标题Re: [证明]夹挤定理
时间Sun Oct 7 16:03:41 2007
※ 引述《eternal29 (29)》之铭言：
: show that lim xsin(1/x)=0 use the pinching theorem
: x→0
: 请板上的高手们帮个忙>"<
0 ≦ |sin(1/x)| ≦ 1
0 ≦ |(x)(sin(1/x))| ≦ |x|
lim 0 ≦ lim |(x)(sin(1/x))| ≦ lim |x|
x→0 x→0 x→0
Since lim 0 = 0 = lim |x| ,
x→0 x→0
by the pinching theorem , lim |(x)(sin(1/x))| = 0
x→0
lim (x)(sin(1/x)) = 0
x→0
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1F：推 eternal29:谢谢^^ 140.114.193.25 10/07 19:04