What is the limit as x approaches 7 of 6x+|x-7| ?

The limit as x approaches 7 of 6x+|x-7| is 42

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limit as x approaches 7 of 6x+|x-7|

x \to 7 lim (6 x + ∣ x - 7 ∣)

42

Solution steps

x \to 7 lim (6 x + ∣ x - 7 ∣)

Plug in the value

x = 7

= 6 \cdot 7 + ∣ 7 - 7 ∣

Simplify

6 \cdot 7 + ∣ 7 - 7 ∣ : 42

= 42

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\int_{1}^{\infty} e^{- 7 x} d x

What is the limit as x approaches 7 of 6x+|x-7| ?
The limit as x approaches 7 of 6x+|x-7| is 42