What is the limit as x approaches-2 of (4/x+2)/(x+2) ?

The limit as x approaches-2 of (4/x+2)/(x+2) is -1

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limit as x approaches-2 of (4/x+2)/(x+2)

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

- 1

Solution steps

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

Simplify

\frac{\frac{4}{x} + 2}{x + 2} : \frac{2}{x}

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

Plug in the value

x = - 2

= \frac{2}{- 2}

Simplify

= - 1

f (x) = (4 x - 4)^{\frac{1}{3}}, at x = 2

f (x) = arctan (e^{x})

x^{^{''}} + x^{^{'}} + x = 0

t y^{^{'}} - 2 y = 2 t^{4}

\frac{d}{d x} (\frac{x - 7}{- 5 x - 10})

What is the limit as x approaches-2 of (4/x+2)/(x+2) ?
The limit as x approaches-2 of (4/x+2)/(x+2) is -1