What is the limit as x approaches-3 of (3x)/(x^3-27) ?

The limit as x approaches-3 of (3x)/(x^3-27) is 1/6

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limit as x approaches-3 of (3x)/(x^3-27)

x \to - 3 lim (\frac{3 x}{x ^{3} - 27})

\frac{1}{6}

Decimal Notation

0.16666 \dots

Solution steps

x \to - 3 lim (\frac{3 x}{x ^{3} - 27})

Plug in the value

x = - 3

= \frac{3 ( - 3 )}{( - 3 ) ^{3} - 27}

Simplify

\frac{3 ( - 3 )}{( - 3 ) ^{3} - 27} : \frac{1}{6}

= \frac{1}{6}

x \to 3 lim (x csc (x))

x \to ab c lim (a x^{2} + b x + c)

t \to \frac{1}{3} lim (2 t + 7)

x \to - 3 lim (x^{2} - x - 12)

x \to 0 lim (2 x ln (\frac{1}{x}))

What is the limit as x approaches-3 of (3x)/(x^3-27) ?
The limit as x approaches-3 of (3x)/(x^3-27) is 1/6