What is the limit as x approaches 1/2 of |2x+3| ?

The limit as x approaches 1/2 of |2x+3| is 4

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limit as x approaches 1/2 of |2x+3|

x \to \frac{1}{2} lim (∣ 2 x + 3 ∣)

4

Solution steps

x \to \frac{1}{2} lim (∣ 2 x + 3 ∣)

Plug in the value

x = \frac{1}{2}

= 2 \cdot \frac{1}{2} + 3

Simplify

2 \cdot \frac{1}{2} + 3 : 4

= 4

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What is the limit as x approaches 1/2 of |2x+3| ?
The limit as x approaches 1/2 of |2x+3| is 4