What is the limit as x approaches 0 of (2/(x+2)-1)/x ?

The limit as x approaches 0 of (2/(x+2)-1)/x is -1/2

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limit as x approaches 0 of (2/(x+2)-1)/x

x \to 0 lim (\frac{\frac{2}{x + 2} - 1}{x})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

x \to 0 lim (\frac{\frac{2}{x + 2} - 1}{x})

Simplify

\frac{\frac{2}{x + 2} - 1}{x} : - \frac{1}{x + 2}

= x \to 0 lim (- \frac{1}{x + 2})

Plug in the value

x = 0

= - \frac{1}{0 + 2}

Simplify

= - \frac{1}{2}

e^{t^{2}} y^{^{'}} + t + t y^{2} = 0

x \to 0 + lim (5 x^{2} ln (x))

f (x) = 4 x^{4}

(5.4) (- 1.6)

\int - x e^{x} d x

What is the limit as x approaches 0 of (2/(x+2)-1)/x ?
The limit as x approaches 0 of (2/(x+2)-1)/x is -1/2