What is the limit as x approaches-5 of (5/x+1)/(x+5) ?

The limit as x approaches-5 of (5/x+1)/(x+5) is -1/5

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limit as x approaches-5 of (5/x+1)/(x+5)

x \to - 5 lim (\frac{\frac{5}{x} + 1}{x + 5})

- \frac{1}{5}

Decimal Notation

- 0.2

Solution steps

x \to - 5 lim (\frac{\frac{5}{x} + 1}{x + 5})

Simplify

\frac{\frac{5}{x} + 1}{x + 5} : \frac{1}{x}

= x \to - 5 lim (\frac{1}{x})

Plug in the value

x = - 5

= \frac{1}{- 5}

Simplify

= - \frac{1}{5}

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What is the limit as x approaches-5 of (5/x+1)/(x+5) ?
The limit as x approaches-5 of (5/x+1)/(x+5) is -1/5