What is the limit as x approaches-3 of (x-3)/(9x) ?

The limit as x approaches-3 of (x-3)/(9x) is 2/9

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limit as x approaches-3 of (x-3)/(9x)

x \to - 3 lim (\frac{x - 3}{9 x})

\frac{2}{9}

Decimal Notation

0.22222 \dots

Solution steps

x \to - 3 lim (\frac{x - 3}{9 x})

Plug in the value

x = - 3

= \frac{- 3 - 3}{9 ( - 3 )}

Simplify

\frac{- 3 - 3}{9 ( - 3 )} : \frac{2}{9}

= \frac{2}{9}

\frac{\partial}{\partial x} (x^{2} + 5 x z + 3 y z^{2})

f (x) = 8 ln (t^{8})

y = \frac{cos ( x )}{x ^{5}}

1 + e^{2 x}

x \to 0 + lim (\frac{x ^{2}}{7} - \frac{7}{x})

What is the limit as x approaches-3 of (x-3)/(9x) ?
The limit as x approaches-3 of (x-3)/(9x) is 2/9