Limits

Walkthrough

Evaluate lim x→2 of x² + 3x + 1.

1. 1.For polynomial functions, the limit as x approaches a value can be evaluated by direct substitution.
2. 2.Identify the function: f(x) = x² + 3x + 1 and the value x approaches: x → 2.
3. 3.Substitute x = 2 into the function: (2)² + 3(2) + 1.
4. 4.Compute: 4 + 6 + 1 = 11.
5. 5.So lim x→2 of (x² + 3x + 1) = 11.