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極限計算器
逐步計算極限
此免費計算器將嘗試在給定點（包括無窮大）求給定函數的極限（雙側或單側，包括左極限與右極限），並顯示計算步驟。
可使用多種技巧來處理極限（包括未定式）：極限定律、改寫與化簡、羅必達法則、分母有理化、取自然對數等。
Solution
Your input: find $$$\lim_{x \to \infty} \frac{1}{x}$$$
The limit of a quotient is the quotient of limits:
$${\color{red}{\lim_{x \to \infty} \frac{1}{x}}} = {\color{red}{\frac{\lim_{x \to \infty} 1}{\lim_{x \to \infty} x}}}$$
The limit of a constant is equal to the constant:
$$\frac{{\color{red}{\lim_{x \to \infty} 1}}}{\lim_{x \to \infty} x} = \frac{{\color{red}{1}}}{\lim_{x \to \infty} x}$$
Constant divided by a very big number equals $$$0$$$:
$${\color{red}{1 \frac{1}{\lim_{x \to \infty} x}}} = {\color{red}{\left(0\right)}}$$
Therefore,
$$\lim_{x \to \infty} \frac{1}{x} = 0$$
Answer: $$$\lim_{x \to \infty} \frac{1}{x}=0$$$
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