Evaluate the Limit limit as x approaches 2 of x^2-4

Problem

(lim_x→2)(x2−4)

Solution

1. Identify the type of function. The expression x2−4 is a polynomial.

2. Apply the direct substitution property for limits. Since polynomials are continuous everywhere, the limit as x approaches a value a is simply the function evaluated at a

3. Substitute the value x=2 into the expression.

2−4

4. Simplify the resulting numerical expression.

4−4=0

Final Answer

(lim_x→2)(x2−4)=0

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