Evaluate the limit of a function as x approaches a specific value.
Limit Parameters
Limit Calculation
lim x→c f(x)-50000.0000
Left Limit-100000.0000
Right Limit0.0000
Calculated using numerical approximation with ε = 0.00001. Exact symbolic limits require complex algebra systems.
About this calculator
Limits in Calculus
A limit describes the behavior of a function near a particular input. It is fundamental to calculus, differentiating continuity from discontinuity and defining the derivative.
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Pro Tips
Direct Substitution: If the function is continuous at c, simply plug in the value.
Factorization: Simplify rational functions to remove discontinuities.
L'Hopital's Rule: Use derivatives for 0/0 or ∞/∞ forms.
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Fun Facts
"The rigorous definition of a limit (epsilon-delta) was formalized by Weierstrass."
"Limits are used to define instantaneous velocity and the area under a curve."
