What is the limit as x approaches 1/3 of |3x-1|-5 ?

The limit as x approaches 1/3 of |3x-1|-5 is -5

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limit as x approaches 1/3 of |3x-1|-5

x \to \frac{1}{3} lim (∣ 3 x - 1 ∣ - 5)

- 5

Solution steps

x \to \frac{1}{3} lim (∣ 3 x - 1 ∣ - 5)

Plug in the value

x = \frac{1}{3}

= 3 \cdot \frac{1}{3} - 1 - 5

Simplify

3 \cdot \frac{1}{3} - 1 - 5 : - 5

= - 5

What is the limit as x approaches 1/3 of |3x-1|-5 ?
The limit as x approaches 1/3 of |3x-1|-5 is -5