x趋向于0,limf(x)/x=1,f#39;#39;(x)gt;0,证明f(x)gt;x
<p>问题:x趋向于0,limf(x)/x=1,f#39;#39;(x)gt;0,证明f(x)gt;x<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">陈爱琦的回答:<div class="content-b">网友采纳 ∵f(x)=x+o(x)∴f'(0)=1f(0)=0 写出f(x)的迈克劳林公式展开: f(x)=f(0)+f'(0)x+f''(m)x^2m介于0和x之间 f(x)=x+f''(m)x^2 ∵f''(x)>0 f(x)-x>0
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