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

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

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

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

1

Solution steps

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

x

is negative when

x \to - 5

. Therefore

∣ x ∣ = - x

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

Simplify

= x \to - 5 lim (1)

x \to a lim c = c

= 1

\int (x^{2} - 1)^{5} (2 x) d x

t \to - 2 lim (8 + t^{3})

cos (arcsin (x))

y^{^{'}} = (t + y) 2 - 1, y (1) = 6

\frac{2}{x ^{3}}

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