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

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

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

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

- \frac{1}{4}

Decimal

- 0.25

Solution steps

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

Simplify

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

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

Plug in the value

x = - 4

= \frac{1}{- 4}

Simplify

= - \frac{1}{4}

\int_{0}^{1} 1 + (- 2 x)^{2} d x

f (x) = x^{2} + 5, (3, 14)

\frac{x}{4} - \frac{4}{x}

x^{2} \frac{d y}{d x} - 2 x y = 6 y^{4}, y (1) = \frac{1}{3}

x \to \infty lim (7 x)

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