What is the limit as x approaches 6 of 4x+|x-6| ?

The limit as x approaches 6 of 4x+|x-6| is 24

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limit as x approaches 6 of 4x+|x-6|

x \to 6 lim (4 x + ∣ x - 6 ∣)

24

Solution steps

x \to 6 lim (4 x + ∣ x - 6 ∣)

Plug in the value

x = 6

= 4 \cdot 6 + ∣ 6 - 6 ∣

Simplify

4 \cdot 6 + ∣ 6 - 6 ∣ : 24

= 24

f (x) = x^{3} + x^{2} - 2 x

x \to 2 lim (\frac{2 x + 1}{x + 2})

\frac{d}{d x} (16 e^{2 x} x + 32 e^{2 x})

\frac{d y}{d x} = 0.08 y - 100000

\int \frac{16 x ^{2} - 25}{x ^{3}} d x

What is the limit as x approaches 6 of 4x+|x-6| ?
The limit as x approaches 6 of 4x+|x-6| is 24