meili 发表于 2022-10-27 15:25:38

F(X)在X点处二阶可导,求LIM[F(X+H)-2F(X)+F(X-H)]/H^2H趋于0标答是F#39;#39;(X)

<p>问题:F(X)在X点处二阶可导,求LIM/H^2H趋于0标答是F#39;#39;(X)
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">江保根的回答:<div class="content-b">网友采纳  以下极限都是h趋于0  lim/h^2  (用洛必塔法则)  =lim/2h  =lim(1/2){/h-/(-h)}  =(1/2)  =0  注意:  lim/h=lim/(-h)=f'(x)
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