What is the limit as x approaches 3 of 2x+|x+3| ?

The limit as x approaches 3 of 2x+|x+3| is 12

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limit as x approaches 3 of 2x+|x+3|

x \to 3 lim (2 x + ∣ x + 3 ∣)

12

Solution steps

x \to 3 lim (2 x + ∣ x + 3 ∣)

Plug in the value

x = 3

= 2 \cdot 3 + ∣ 3 + 3 ∣

Simplify

2 \cdot 3 + ∣ 3 + 3 ∣ : 12

= 12

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What is the limit as x approaches 3 of 2x+|x+3| ?
The limit as x approaches 3 of 2x+|x+3| is 12