Notes in 07利用定积分定义计算极限

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Published	10/05/2024	利用定积分的定义求极限求极限 \(\underset{n \rightarrow \infty}{\lim}\left(\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{n+n}\right)\).
Published	10/05/2024	根据下面两道例题说明n项和数列极限什么时候用夹逼准则，什么时候用定积分定义求函数极限\(\text { 【例 1】求极限 } \underset{n \rightarrow \infty}{\lim}\left(\frac{n}{n^{2}+1}+\frac{n}{n^{2}+2}+\cdots+\…
Published	10/05/2024	定积分定义求极限右端点取高\(\begin{align}\text{区间右端点做小矩形的高：}\displaystyle\int_a^b{f\left( x \right) dx}=\text{______.}\end{align}\)\(\begin{align}\text{特殊化}\left[ …
Published	10/05/2024	\(\begin{align}\text{区间左端点做小矩形的高：}\displaystyle\int_a^b{f\left( x \right) dx}=\text{______.}\end{align}\)\(\begin{align}\text{特殊化}\left[ 0,1 \right] \…
Published	10/05/2024	\(\begin{align}\text{区间中点做小矩形的的高}:\displaystyle\int_a^b{f\left( x \right) dx}=\text{______.}\end{align}\)\(\begin{align}\text{特殊化}\left[ 0,1 \right] \…
Published	10/05/2024	定积分定义求极限思维导图
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