Enter the limit you want to find into the editor or submit the example problem. The Limit Calculator supports find a limit as x approaches any number including infinity. The calculator will use the best method available so try out a lot of different types of problems.

The Limit Calculator is an essential online tool designed to compute limits of functions efficiently. Here's how to use it: Begin by entering the mathematical function for which you want to compute the limit into the above input field, or scanning the problem with your camera.

洛必达法则可用来求七种类型不定式的极限 ， 即 \frac {0} {0} ，\frac {\infty } {\infty } ，\infty-\infty ，0\cdot \infty ，1^ {\infty } ，\infty ^ {0}，0^ {0} ， 其中前两种 \frac {0} {0} ，\frac {\infty } {\infty } 直接使用洛必达法则 ， 后五种均可化为前两种 . 使用，也可以简化运算.

x^2: x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div: x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} …

• log (a,x) — \ (\log_a\left (x\right)\) • ln^2 (x), ln (x)^2 — \ (\ln^2\left (x\right)\) 一步一步的极限计算器。 方便的输入和解释！

以 f(x)+g(x) 为例，设 r(x)=f(x)+g(x)-(A+B).由极限和无穷小的关系可得： f(x)=A + a(x),g(x)=B+b(x),\lim a(x)=0,\lim b(x)=0, 那么 \lim r(x)=f(x)+g(x)-(A+B)=\lim a(x)+b(x) ,根据无穷小之和仍为无穷小的定理，可得 \lim r(x)=0 ,由极限与无穷小关系可得， \lim f(x)+g(x)=A+B ,同理可证 \lim f(x)-g(x)=A-B .

2024年11月13日 · 函数 \( f(x) \) 在 \( x \) 趋近于 \( a \) 时的极限是 \( f(x) \) 越来越接近的值，记作： \[ \lim_{x \to a} f(x) \] 如果函数从两侧趋近于相同的值，则极限存在。

Limit calculator with steps shows the step-by-step solution of limits along with a plot and series expansion. It employs all limit rules such as sum, product, quotient, and L'hopital's rule to calculate the exact value. You can evaluate limits with respect to x, y, z, v, u, t x, y, z, v, u, t and w w using this limits calculator. That’s not it.

极限计算器:计算函数在指定点的极限，可计算单侧极限和双侧极限。 指定点可以用数或者简单的表达式写出。 例如： pi/4。 也可以计算在正无穷大（inf）、负无穷大（minf）以及复数极 …

Free Limit Calculator helps you solve one-dimensional and multivariate limits for calculus and mathematical analysis. Get series expansions and graphs.