Notes in 02基本函数极限

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Published	10/05/2024	基本函数极限1\(\begin{align}\underset{x \rightarrow 0} {\lim}\frac{\sin x}{x}=\text{______.}\end{align}\)
Published	10/05/2024	基本函数极限2\(\begin{align}\underset{x \rightarrow 0}{\lim}(1+x)^{\frac{1}{x}}=\text{______.}\end{align}\)
Published	10/05/2024	基本函数极限3\(\underset{x \rightarrow \infty}{\lim}\left(1+\frac{1}{x}\right)^{x}=\text{______.}\)
Published	10/05/2024	基本函数极限4\(\underset{x \rightarrow 0} {\lim}\frac{a^{x}-1}{x}=\text{______.}\)
Published	10/05/2024	基本函数极限5\(\underset{n \rightarrow \infty}{\lim} \sqrt[n]{n}=\text{______.}\)\(\underset{n \rightarrow \infty}{\lim} \sqrt[n]{a}=\text{______.}\)
Published	10/05/2024	基本函数极限6(抓大头公式)\(\underset{x \rightarrow \infty}{\lim} \frac{a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{1} x+a_{0}}{b_{m} x^{m}+b_{m-1} x^{m-1}+\cdots+b_{1}…
Published	10/05/2024	基本函数极限9\(\mathop{\lim }\limits_{{x \rightarrow {0}^{ + }}}{x}^{a}=\text{_______.}\)
Published	10/05/2024	基本函数极限11\(\underset{n \rightarrow \infty}{\lim} \mathrm{e}^{n x}=\text{______.}\)
Published	10/05/2024	基本极限公式表格 \(\begin{align}\underset{x \rightarrow 0}{\lim} \frac{\sin x}{x}\end{align}\)=____ \(\begin{align}\underset{x \rightarrow 0}{\lim}(…
Published	10/05/2024	基本函数极限8\(\underset{n \rightarrow \infty}{\lim} x^{n}=\text{______.}\)
Published	10/05/2024	基本函数极限10\(\mathop{\lim }\limits_{{n \rightarrow \infty }}{n}^{x}=\text{_____}\)
Published	10/05/2024	基本函数极限7(抓小头公式)\(\displaystyle\lim_{x\rightarrow 0} \frac{a_0x^n+a_1x^{n+1}+\cdots}{b_0x^m+b_1x^{m+1}+\cdots}=\text{_____.}\)
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