What is the limit as x approaches 0 of x/(x^2-7x) ?

The limit as x approaches 0 of x/(x^2-7x) is -1/7

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limit as x approaches 0 of x/(x^2-7x)

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

- \frac{1}{7}

Decimal

- 0.14285 \dots

Solution steps

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

Simplify

\frac{x}{x ^{2} - 7 x} : \frac{1}{x - 7}

= x \to 0 lim (\frac{1}{x - 7})

Plug in the value

x = 0

= \frac{1}{0 - 7}

Simplify

= - \frac{1}{7}

x \to - 2 lim (x^{2} + 2 x + 5)

x \to 0 lim (2 + \frac{sin ( x )}{x})

x \to 0 lim (\frac{( x - 6 )}{x ^{2}})

n \to \infty lim (3 + i^{n})

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

What is the limit as x approaches 0 of x/(x^2-7x) ?
The limit as x approaches 0 of x/(x^2-7x) is -1/7