What is the limit as x approaches 0 of (4/(x+4)-1)/x ?

The limit as x approaches 0 of (4/(x+4)-1)/x is -1/4

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limit as x approaches 0 of (4/(x+4)-1)/x

x \to 0 lim (\frac{\frac{4}{x + 4} - 1}{x})

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

x \to 0 lim (\frac{\frac{4}{x + 4} - 1}{x})

Simplify

\frac{\frac{4}{x + 4} - 1}{x} : - \frac{1}{x + 4}

= x \to 0 lim (- \frac{1}{x + 4})

Plug in the value

x = 0

= - \frac{1}{0 + 4}

Simplify

= - \frac{1}{4}

\int_{0}^{1} \frac{73}{x ^{5}} d x

x \to - 1 lim (\frac{in x}{x - 1})

\frac{d y}{d x} = 2 x y^{2} + 72 x

f (x) = 4 x^{2} + 3 x

\int x^{3} x^{2} + 25 d x

What is the limit as x approaches 0 of (4/(x+4)-1)/x ?
The limit as x approaches 0 of (4/(x+4)-1)/x is -1/4