What is the limit as x approaches-2 of (2-|x|)/(x+2) ?

The limit as x approaches-2 of (2-|x|)/(x+2) is 1

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limit as x approaches-2 of (2-|x|)/(x+2)

x \to - 2 lim (\frac{2 - ∣ x ∣}{x + 2})

1

Solution steps

x \to - 2 lim (\frac{2 - ∣ x ∣}{x + 2})

x

is negative when

x \to - 2

. Therefore

∣ x ∣ = - x

= x \to - 2 lim (\frac{2 - ( - x )}{x + 2})

Simplify

= x \to - 2 lim (1)

x \to a lim c = c

= 1

x \to 0 lim (\frac{ln ( x - 1 )}{x})

x \to 0 lim (cot (x) sin (x))

x \to - 12 lim (x + 12)

x \to 3 lim (2 x^{2} + 3)

t \to 50 lim (\frac{100}{50 - t})

What is the limit as x approaches-2 of (2-|x|)/(x+2) ?
The limit as x approaches-2 of (2-|x|)/(x+2) is 1