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Answer: L = 8
Step-by-step explanation:
[tex]{\lim \atop {x \to 2}} \, 3x+2[/tex] asks us what value does the graph of 3x+2 approach as the value of x approaches 2. Since there are no holes or gaps in the graph of 3x + 2, we can plug in x into the expression without having to do any fancy calculus:
[tex]{\lim \atop {x \to 2}} \, 3x+2\\=3(2) + 2\\= 6 + 2\\= 8[/tex]
The limit evaluates to 8.