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Popular Calculus >

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

Solution

x \to 3 lim (2 x + ∣ x - 3 ∣)

Solution

6

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 ∣ : 6

= 6

Graph

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Frequently Asked Questions (FAQ)

What is the limit as x approaches 3 of 2x+|x-3| ?
The limit as x approaches 3 of 2x+|x-3| is 6