What is the limit as x approaches 6 of 9x+|x-6| ?

The limit as x approaches 6 of 9x+|x-6| is 54

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limit as x approaches 6 of 9x+|x-6|

x \to 6 lim (9 x + ∣ x - 6 ∣)

54

Solution steps

x \to 6 lim (9 x + ∣ x - 6 ∣)

Plug in the value

x = 6

= 9 \cdot 6 + ∣ 6 - 6 ∣

Simplify

9 \cdot 6 + ∣ 6 - 6 ∣ : 54

= 54

\int \frac{x}{8 - x ^{2}} d x

y = 3^{x}

\frac{d y}{d x} = \frac{x y + y + x + 1}{x y + 2 x - y - 2}

\frac{d}{d x} (\frac{x - 4}{- x ^{2} + 4})

\frac{( 2 s + 1 )}{s ^{2} + 2 s + 5}

What is the limit as x approaches 6 of 9x+|x-6| ?
The limit as x approaches 6 of 9x+|x-6| is 54