Limit Calculator
A limit describes the value a function approaches as the input approaches a specified number.
Write: limit of x^2 as x -> 3. Continuous functions can be evaluated by substitution.
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Example problems
How this solver works
- Parse f, the variable, and the approaching value.
- Substitute when defined.
- Otherwise mark the problem unsupported rather than invent a value.
Formula
If f is continuous at a.
Worked examples
lim x→3 of x^2
- 3^2 = 9
Answer: 9
Common mistakes
Substituting into a hole without simplifying
If you get 0/0, factor or cancel before substituting again.
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Frequently asked questions
What about limits at infinity?
Use oo or infinity in the approaching value. Polynomials of positive degree diverge.