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}

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}

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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