Examples for

Limits are the underlying tool used in calculus, appearing in the definitions of continuity, derivatives and integrals. Wolfram|Alpha has the power to compute bidirectional limits, one-sided limits, supremum and infimum limits, discrete limits and multivariable limits. More information, such as plots and series expansions, is provided to enhance mathematical intuition about a limit.

Compute limits numerically and symbolically.

Explore limits of expressions in two or more dimensions.

Evaluate limiting behavior of sequences.

Compute one-sided limits from a specified direction.

Express functions in terms of limits.

Step-by-Step Solutions for Calculus

Calculus Web App

Free Unlimited Calculus Practice Problems

Find the limiting upper and lower bounds of functions.