What is the limit as x approaches 6 of 5x+|x-6| ?

The limit as x approaches 6 of 5x+|x-6| is 30

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limit as x approaches 6 of 5x+|x-6|

x \to 6 lim (5 x + ∣ x - 6 ∣)

30

Solution steps

x \to 6 lim (5 x + ∣ x - 6 ∣)

Plug in the value

x = 6

= 5 \cdot 6 + ∣ 6 - 6 ∣

Simplify

5 \cdot 6 + ∣ 6 - 6 ∣ : 30

= 30

\frac{\partial}{\partial x} (20 arccot (x))

\int_{6}^{12} (6 e^{x}) d x

\int \frac{9 - x}{9 + x} d x

\frac{d}{d x} (m x n + b + b^{8} x^{3} m - 5 + n x^{2} b - 2)

f (x) = \frac{e ^{2}}{x ^{2} - 2 x}

What is the limit as x approaches 6 of 5x+|x-6| ?
The limit as x approaches 6 of 5x+|x-6| is 30