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content="本文回顾多个有趣数学题,围绕递推数列展开,通过迭代过程分析对数、余弦、指数等函数生成的数列,运用单调有界准则、拉格朗日中值定理等证明极限存在并求解,探讨数列在函数曲线“夹缝”中的收敛特性。"></span><div class="headimg-div"> <a class="headimg-a" href="/p/ce5b71c0/"><img itemprop="image" class="headimg lazyload" alt="回顾几个有趣的小题目" src="https://static.mhuig.top/npm/mhgoos@0.0.1651972981212/20201116211140.webp" class="lazyload" data-srcset="https://static.mhuig.top/npm/mhgoos@0.0.1651972981212/20201116211140.webp" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></a></div><h2 class="article-title" itemprop="name headline"> <a href="/p/ce5b71c0/" itemprop="url">回顾几个有趣的小题目</a></h2><div class="md article-desc" itemprop="articleBody"><p>本文回顾多个有趣数学题,围绕递推数列展开,通过迭代过程分析对数、余弦、指数等函数生成的数列,运用单调有界准则、拉格朗日中值定理等证明极限存在并求解,探讨数列在函数曲线“夹缝”中的收敛特性。</p></div><div class="meta-v3" line_style="solid"><div><span hidden itemprop="author" itemscope itemtype="http://schema.org/Person"><meta itemprop="image" content="/lib/avatar/avatar-16.webp"><meta 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