Evaluate the Limit limit as x approaches 3 of x^2

Problem

(lim_x→3)(x2)

Solution

1. Identify the type of function. The function ƒ(x)=x2 is a polynomial function.

2. Apply the property of limits for polynomials. 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=3 into the expression.

3

4. Simplify the result by performing the exponentiation.

3⋅3=9

Final Answer

(lim_x→3)(x2)=9

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