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

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

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

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

- 1

Solution steps

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

x

is negative when

x \to - 4

. Therefore

∣ x ∣ = - x

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

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

= x \to - 4 lim (- 1)

x \to a lim c = c

= - 1

x \to - 2 π - lim (csc (x))

\frac{d}{d x} (- 7 (x - 13)^{2} + 8 (x - 13) + 5)

- \frac{1}{2} e^{2 x} + e^{x} - 1

y^{^{''}} - 7 y^{^{'}} + 10 y = 24 e^{x}

x \to 1 lim (G (x))

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