What is the limit as x approaches 8 of 8x+|x-8| ?

The limit as x approaches 8 of 8x+|x-8| is 64

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limit as x approaches 8 of 8x+|x-8|

x \to 8 lim (8 x + ∣ x - 8 ∣)

64

Solution steps

x \to 8 lim (8 x + ∣ x - 8 ∣)

Plug in the value

x = 8

= 8 \cdot 8 + ∣ 8 - 8 ∣

Simplify

8 \cdot 8 + ∣ 8 - 8 ∣ : 64

= 64

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What is the limit as x approaches 8 of 8x+|x-8| ?
The limit as x approaches 8 of 8x+|x-8| is 64