What is the limit as x approaches 0 of (x+1)/(x-5) ?

The limit as x approaches 0 of (x+1)/(x-5) is -1/5

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limit as x approaches 0 of (x+1)/(x-5)

x \to 0 lim (\frac{x + 1}{x - 5})

- \frac{1}{5}

Decimal Notation

- 0.2

Solution steps

x \to 0 lim (\frac{x + 1}{x - 5})

Plug in the value

x = 0

= \frac{0 + 1}{0 - 5}

Simplify

= - \frac{1}{5}

x \to 2 lim (- x^{2} + 4)

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

x \to 2 lim (3 x^{3} - 2 x + 7)

x \to 0 lim ([\frac{1}{x}])

x \to - 3 lim (2 x^{3} + 6 x^{2} - 9)

What is the limit as x approaches 0 of (x+1)/(x-5) ?
The limit as x approaches 0 of (x+1)/(x-5) is -1/5