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。

Enter a function:

Choose a variable:

Find the limit at:

If you need `oo`, type inf.

Choose a direction:

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Solution

Your input: find $$$\lim_{x \to \infty} x \ln{\left(x \right)}$$$

The function grows without a bound:

$$\lim_{x \to \infty} x \ln{\left(x \right)} = \infty$$

Therefore,

$$\lim_{x \to \infty} x \ln{\left(x \right)} = \infty$$

Answer: $$$\lim_{x \to \infty} x \ln{\left(x \right)}=\infty$$$


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