What is the limit as x approaches 2/3 of (3x-2)/(3x^2-11x+6) ?

The limit as x approaches 2/3 of (3x-2)/(3x^2-11x+6) is -3/7

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limit as x approaches 2/3 of (3x-2)/(3x^2-11x+6)

x \to \frac{2}{3} lim (\frac{3 x - 2}{3 x ^{2} - 11 x + 6})

- \frac{3}{7}

Decimal Notation

- 0.42857 \dots

Solution steps

x \to \frac{2}{3} lim (\frac{3 x - 2}{3 x ^{2} - 11 x + 6})

Simplify

\frac{3 x - 2}{3 x ^{2} - 11 x + 6} : \frac{1}{x - 3}

= x \to \frac{2}{3} lim (\frac{1}{x - 3})

Plug in the value

x = \frac{2}{3}

= \frac{1}{\frac{2}{3} - 3}

Simplify

\frac{1}{\frac{2}{3} - 3} : - \frac{3}{7}

= - \frac{3}{7}

\frac{\partial}{\partial z} (x y + yz + z x)

\frac{d}{d x} (x cos^{3} (x))

\int_{1}^{2} x ln (x) d x

\frac{d}{d x} (e^{(- 3 x)})

e^{- 3 z + 1} + 8

What is the limit as x approaches 2/3 of (3x-2)/(3x^2-11x+6) ?
The limit as x approaches 2/3 of (3x-2)/(3x^2-11x+6) is -3/7