Step-by-Step Limit Solver
Find the Limit of Any Function.
Calculates limits from the left, right, and at infinity, showing all steps.
Select Interaction Mode
Try an Example
Understand the Behavior of Functions
Evaluate Limits at a Point
Find the value a function approaches as $x$ gets closer to a specific number, using techniques like substitution and factoring.
Analyze End Behavior
Determine the limit of a function as $x$ approaches positive or negative infinity to understand its long-term trend.
Apply L'Hôpital's Rule
When a limit results in an indeterminate form like $0/0$ or $\infty/\infty$, our solver automatically applies L'Hôpital's Rule and explains the process.
Limit Solver: Frequently Asked Questions
Can it calculate one-sided limits?
Yes. You can specify the direction by typing "lim x->2+ ..." for the limit from the right, or "lim x->2- ..." for the limit from the left.
What happens if a limit does not exist (DNE)?
Our solver will correctly identify when a limit does not exist, often explaining why (e.g., the one-sided limits are not equal).
Can it help with the formal definition of a limit (epsilon-delta)?
While it directly computes limits, our AI tutor can guide you through the concepts and steps involved in an epsilon-delta proof.