What is the limit as x approaches 2/3+of sqrt(3x-2) ?

The limit as x approaches 2/3+of sqrt(3x-2) is 0

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limit as x approaches 2/3+of sqrt(3x-2)

x \to \frac{2}{3} + lim (3 x - 2)

0

Solution steps

x \to \frac{2}{3} + lim (3 x - 2)

Plug in the value

x = \frac{2}{3}

= 3 \cdot \frac{2}{3} - 2

Simplify

3 \cdot \frac{2}{3} - 2 : 0

= 0

x \to - 4 lim (\frac{2}{x + 4})

x \to 0 lim (2^{x} + x^{2})

x \to 0 lim (\frac{4 ( - 1 + x ) + 4}{x})

x \to 0 lim (\frac{x ^{3} + x}{3})

x \to 0 - lim (x + \frac{1}{x})

What is the limit as x approaches 2/3+of sqrt(3x-2) ?
The limit as x approaches 2/3+of sqrt(3x-2) is 0