Limit Calculator: Evaluate Limits of Functions
Online limit calculator with step-by-step solutions. Methods include standard limits, L'Hôpital's rule, Taylor series, rationalization, factoring, and the squeeze theorem. Calculate one-sided limits and evaluate indeterminate forms.
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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Original limit
Limit found
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
Plot:
Values:
0.000000
Zoom (wheel or gesture):