Limit Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
Find limโกxโ†’5(x2โˆ’3x+2)\lim_{x \to 5} (x^2 - 3x + 2)

Solution

  1. 1
    This is a polynomial, so use direct substitution.
  2. 2
    Substitute x=5x = 5: 52โˆ’3(5)+2=25โˆ’15+2=125^2 - 3(5) + 2 = 25 - 15 + 2 = 12.

Answer

1212
Polynomials are continuous everywhere, so the limit is simply the function value at the given point.

About Limit

The value a function gets closer and closer to as the input approaches a specific target value, without necessarily reaching it.

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