What is the limit as x approaches+4 of 9x+|x-4| ?

The limit as x approaches+4 of 9x+|x-4| is 36

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limit as x approaches+4 of 9x+|x-4|

x \to + 4 lim (9 x + ∣ x - 4 ∣)

36

Solution steps

x \to 4 lim (9 x + ∣ x - 4 ∣)

Plug in the value

x = 4

= 9 \cdot 4 + ∣ 4 - 4 ∣

Simplify

9 \cdot 4 + ∣ 4 - 4 ∣ : 36

= 36

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What is the limit as x approaches+4 of 9x+|x-4| ?
The limit as x approaches+4 of 9x+|x-4| is 36