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 diverges

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to - 5 + lim (\frac{x + 5}{∣ x + 5 ∣}) = 1

x \to - 5 - lim (\frac{x + 5}{∣ x + 5 ∣}) = - 1

= diverges

x \to 2 lim (6 x)

x \to π lim ((x - π) (cot (x)))

x \to - 1 lim (\frac{x}{x ^{2} - 1} - 10)

x \to 0 lim (\frac{tan ( 4 ( - 0.1 ) )}{( - 0.1 )})

x \to - 2 lim (- 6 x - 7)

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 diverges