Limit Calculatorसूत्र

## 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.

हल किया गया उदाहरण

Find lim(x→2) of x² - 3x + 2.

  1. f(2) = (2)² - 3(2) + 2
  2. = 4 - 6 + 2
  3. = 0
  4. Left: f(1.999) ≈ -0.001999
  5. Right: f(2.001) ≈ 0.002001