How to solve
Polynomials are continuous everywhere, so their graphs have no jumps or holes. That means lim_{x→a} p(x) is simply p(a): substitute the limit point directly.
Steps
- Confirm the expression is a polynomial (no division by zero issues).
- Substitute the limit point into the polynomial.
- Simplify to get the limit value.
Example
Evaluate lim_{x→2} (x² − 3x + 1).
- Substitute x = 2: 4 − 6 + 1 = −1.
Answer: -1
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