What is the limit as x approaches 0 of (2x)/(x^2-5x) ?

The limit as x approaches 0 of (2x)/(x^2-5x) is -2/5

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limit as x approaches 0 of (2x)/(x^2-5x)

x \to 0 lim (\frac{2 x}{x ^{2} - 5 x})

- \frac{2}{5}

Decimal

- 0.4

Solution steps

x \to 0 lim (\frac{2 x}{x ^{2} - 5 x})

Simplify

\frac{2 x}{x ^{2} - 5 x} : \frac{2}{x - 5}

= x \to 0 lim (\frac{2}{x - 5})

Plug in the value

x = 0

= \frac{2}{0 - 5}

Simplify

= - \frac{2}{5}

What is the limit as x approaches 0 of (2x)/(x^2-5x) ?
The limit as x approaches 0 of (2x)/(x^2-5x) is -2/5