Mathematics & Statistics / Calculus
Limit Calculator
Limit Calculator
About Limits
A limit describes the value a function approaches as the input approaches a certain value.
Note: Full limit calculation requires advanced mathematical computation.
Evaluate function behavior near points and infinity to resolve continuity questions and calculus setup steps.
Formula
Limit definition: lim[x->a] f(x) = L when f(x) approaches L as x approaches a.
Worked Example
expression(x^2 - 1)/(x - 1)
approachValue1
Result: 2After simplification to x + 1 (for x != 1), the expression approaches 2 as x approaches 1.
Frequently Asked Questions
Why can substitution fail for some limits?
Direct substitution can produce indeterminate forms like 0/0, which require algebraic or analytical simplification.
What is a one-sided limit?
It is the function behavior approaching a point from only the left or right direction.