What is the limit as x approaches-5-of (|x+5|)/(x+5) ?

The limit as x approaches-5-of (|x+5|)/(x+5) is -1

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limit as x approaches-5-of (|x+5|)/(x+5)

x \to - 5 - lim (\frac{∣ x + 5 ∣}{x + 5})

- 1

Solution steps

x \to - 5 - lim (\frac{∣ x + 5 ∣}{x + 5})

x + 5

is negative when

x \to - 5 -

. Therefore

∣ x + 5 ∣ = - x - 5

= x \to - 5 - lim (\frac{- x - 5}{x + 5})

\frac{- x - 5}{x + 5} = - 1

= x \to - 5 - lim (- 1)

x \to a lim c = c

= - 1

\int x^{5} e^{- x^{6}} d x

x + y (\frac{d y}{d x}) = 0

\int (x x + 6) d x

\int 7 cos (θ) cos^{5} (sin (θ)) d θ

arccos (7 x^{3})

What is the limit as x approaches-5-of (|x+5|)/(x+5) ?
The limit as x approaches-5-of (|x+5|)/(x+5) is -1