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 + 4

is negative when

x \to - 4 -

. Therefore

∣ x + 4 ∣ = - x - 4

= 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

y^{^{''}} + 23 y = 0

\frac{d y}{d x} = 1 + e^{2 x}

e^{- t} cos (t) + 2 t

y^{^{''}} + \frac{1}{t} y^{^{'}} = 0

\int 14 x ln (2 x) d 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