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

The limit as x approaches 9 of 9x+|x-9| is 81

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

x \to 9 lim (9 x + ∣ x - 9 ∣)

81

Solution steps

x \to 9 lim (9 x + ∣ x - 9 ∣)

Plug in the value

x = 9

= 9 \cdot 9 + ∣ 9 - 9 ∣

Simplify

9 \cdot 9 + ∣ 9 - 9 ∣ : 81

= 81

\frac{d}{d x} (\frac{1}{e ^{x}})

t^{3} δ (t - 1)

x \to 8 lim (2 x - 1)

\frac{d}{d x} (cos (14 x))

What is the limit as x approaches 9 of 9x+|x-9| ?
The limit as x approaches 9 of 9x+|x-9| is 81