Evaluate the Limit limit as x approaches 1 of 2/2*(16x-12)

Problem

(lim_x→1)(2/2)*(16*x−12)

Solution

1. Simplify the constant fraction at the beginning of the expression.

2/2=1

2. Rewrite the limit expression using the simplified constant.

(lim_x→1)(1)⋅(16*x−12)

3. Apply the direct substitution property for limits, as the function is a polynomial and defined at x=1

16*(1)−12

4. Calculate the final numerical value.

16−12=4

Final Answer

(lim_x→1)(2/2)*(16*x−12)=4

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