How to Apply L'Hôpital's Rule to 0/0 and ∞/∞ Forms
Learn the exact differentiation steps, algebraic prerequisites, and pitfalls when evaluating indeterminate limit quotients with L'Hôpital's rule.
極限計算機: 関数の極限を計算
ステップバイステップの解説付きオンライン極限計算機。
The input recognizes synonyms for functions, such as , , ,
Multiplication signs and parentheses are automatically added, for example becomes
Supported functions and constants:
- — natural logarithm
- — sine
- — cosine
- — tangent
- — cotangent
- — arcsine
- — arccosine
- — arctangent
- — arccotangent
- — hyperbolic sine
- — hyperbolic cosine
- — hyperbolic tangent
- — hyperbolic cotangent
- — hyperbolic secant
- — hyperbolic cosecant
- — inverse hyperbolic sine
- — inverse hyperbolic cosine
- — inverse hyperbolic tangent
- — inverse hyperbolic cotangent
- — secant
- — cosecant
- — arcsecant
- — arccosecant
- — inverse hyperbolic secant
- — inverse hyperbolic cosecant
- , — absolute value
- , — square root
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元の極限
計算結果
Substituting the limit point into the expression yields an indeterminate form of type:
Resolving the indeterminate form
Applying the formula
Standard trigonometric limit
Substituting the limit value into the function and evaluate the limit
x=0.0000, y=0.0000
グラフ:
\lim f(x)
値:
f(x) = 0.000000
Zoom (wheel or gesture):
よくある質問
Common questions and answers regarding calculus limit calculations and features.
What is Limit Calculator?
Limit Calculator is a free online math solver designed to evaluate calculus limits of functions step-by-step with LaTeX rendering and interactive graphing.
How do I calculate limits at infinity or one-sided limits?
Select the target point (inf, -inf, 0+, 0-, 1, or a) from the variable dropdown next to the input field, enter your mathematical expression, and click the evaluate button.
Which calculus methods and rules are supported?
Our solver supports L'Hôpital's Rule, conjugate rationalization, algebraic factoring, trigonometric standard limits, squeeze theorem, and Taylor series expansion.
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Yes! All calculations run client-side in your browser via JavaScript. No mathematical formulas or personal details are logged on remote servers.
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