Limit Calculator
Evaluate the limit of a polynomial expression ax² + bx + c as x approaches a given value. Shows direct substitution.
Limit Val
0.000000
Left Approx-0.000999
Right Approx0.001001
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.
Example Calculation
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
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