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时间:2014-05-26 09:14:44      阅读:161      评论:0      收藏:0      [点我收藏+]

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$(12苏大四)$设$f\left( x \right) \in {C^1}\left( { - \infty , + \infty } \right)$,且

bubuko.com,布布扣+bubuko.com,布布扣?bubuko.com,布布扣[f(x)bubuko.com,布布扣2bubuko.com,布布扣+fbubuko.com,布布扣bubuko.com,布布扣bubuko.com,布布扣2bubuko.com,布布扣(x)]dx=1bubuko.com,布布扣

证明:$(1)$$\lim \limits_{x \to \begin{array}{*{20}{c}}
\infty \end{array}} f\left( x \right) = 0$

$(2)$对任意$x \in \left( { - \infty , + \infty } \right)$,有$\left| {f\left( x \right)} \right| < \frac{{\sqrt 2 }}{2}$

$(08华师七)$设$u\left( x \right)$在$\left[ {0, + \infty } \right)$上连续可微,且

bubuko.com,布布扣+bubuko.com,布布扣0bubuko.com,布布扣(|u(x)|bubuko.com,布布扣2bubuko.com,布布扣+bubuko.com,布布扣bubuko.com,布布扣ububuko.com,布布扣bubuko.com,布布扣(x)bubuko.com,布布扣bubuko.com,布布扣bubuko.com,布布扣2bubuko.com,布布扣)dx<+bubuko.com,布布扣
证明:

$(1)$存在$\left[ {0, + \infty } \right)$上子列$\left\{ {{x_n}} \right\}$,使得${x_n} \to \infty $,且$u\left( {{x_n}} \right) \to 0\left( {n \to \infty } \right)$

$(2)$存在常数$C>0$,使得

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265656464,布布扣,bubuko.com

265656464

标签:style   c   class   ext   a   color   

原文地址:http://www.cnblogs.com/ly758241/p/3747275.html

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