What is the limit as x approaches 0 of 6x+|x-5| ?

The limit as x approaches 0 of 6x+|x-5| is 5

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limit as x approaches 0 of 6x+|x-5|

x \to 0 lim (6 x + ∣ x - 5 ∣)

5

Solution steps

x \to 0 lim (6 x + ∣ x - 5 ∣)

Plug in the value

x = 0

= 6 \cdot 0 + ∣ 0 - 5 ∣

Simplify

6 \cdot 0 + ∣ 0 - 5 ∣ : 5

= 5

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What is the limit as x approaches 0 of 6x+|x-5| ?
The limit as x approaches 0 of 6x+|x-5| is 5