What is the limit as x approaches 3 of (x-5)/(x^3-7) ?

The limit as x approaches 3 of (x-5)/(x^3-7) is -1/10

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limit as x approaches 3 of (x-5)/(x^3-7)

x \to 3 lim (\frac{x - 5}{x ^{3} - 7})

- \frac{1}{10}

Decimal

- 0.1

Solution steps

x \to 3 lim (\frac{x - 5}{x ^{3} - 7})

Plug in the value

x = 3

= \frac{3 - 5}{3 ^{3} - 7}

Simplify

\frac{3 - 5}{3 ^{3} - 7} : - \frac{1}{10}

= - \frac{1}{10}

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

x \to 1 lim (3 x + 7)

x \to - \frac{π}{2} lim (sin (x))

x \to - \infty lim (x - \frac{1}{x})

x \to \infty lim (2 x e^{x})

What is the limit as x approaches 3 of (x-5)/(x^3-7) ?
The limit as x approaches 3 of (x-5)/(x^3-7) is -1/10