What is the limit as x approaches 1/6 of |-6x+1| ?

The limit as x approaches 1/6 of |-6x+1| is 0

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limit as x approaches 1/6 of |-6x+1|

x \to \frac{1}{6} lim (∣ - 6 x + 1 ∣)

0

Solution steps

x \to \frac{1}{6} lim (∣ - 6 x + 1 ∣)

Plug in the value

x = \frac{1}{6}

= - 6 \cdot \frac{1}{6} + 1

Simplify

- 6 \cdot \frac{1}{6} + 1 : 0

= 0

\frac{d}{d x} (x^{5} - 5 x^{4})

\frac{d}{d x} (\frac{x}{1 - 4 x ^{2}})

\frac{\partial}{\partial y} (y^{2} ln (x))

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

\frac{\partial}{\partial y} (x^{2} + y^{4})

What is the limit as x approaches 1/6 of |-6x+1| ?
The limit as x approaches 1/6 of |-6x+1| is 0