Calcolatore dei Limiti
Calcola il limite di una funzione in un punto. Calcolatore online gratuito.
Limit Val
0.000000
Formula
Limits of Polynomial Functions
Direct Substitution
For polynomial functions, the limit as x approaches a value c is simply f(c). This is because polynomials are continuous everywhere.
lim(x→c) f(x) = f(c)
Verification
The left and right approach values should agree with the direct substitution result, confirming the limit exists.
Esempio Risolto
Find lim(x→2) of x² - 3x + 2.
- 01f(2) = (2)² - 3(2) + 2
- 02= 4 - 6 + 2
- 03= 0
- 04Left: f(1.999) ≈ -0.001999
- 05Right: f(2.001) ≈ 0.002001
Domande Frequenti
What is a limit?
A limit describes the value that a function approaches as the input approaches a particular point. It is the foundation of calculus.
Can you always use direct substitution?
For polynomials, yes. For rational functions, you may get 0/0, which requires algebraic simplification, L'Hopital's rule, or other techniques.
What if the left and right limits differ?
If the left-hand limit and right-hand limit are different, the two-sided limit does not exist. This happens at jump discontinuities.
Impara