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

Problem

(lim_x→2)(3*x+2)

Solution

1. Identify the type of function. The expression 3*x+2 is a linear polynomial, which is continuous for all real numbers.

2. Apply the direct substitution property for limits. Since the function is continuous at x=2 the limit can be found by evaluating the function at that point.

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

3*(2)+2

4. Simplify the resulting numerical expression by performing the multiplication and addition.

6+2=8

Final Answer

(lim_x→2)(3*x+2)=8

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