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

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

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

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

1

Solution steps

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

x

is negative when

x \to - 2

. Therefore

∣ x ∣ = - x

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

Simplify

= x \to - 2 lim (1)

x \to a lim c = c

= 1

y^{^{'}} = 2 x y + x y^{2}

2 cos (t) - 2

\frac{d}{d x} (\frac{( 6 x ^{2} + 8 x + 8 )}{x})

\int_{11}^{12.5} 3 e^{- 3 x} d x

x \to \infty lim (2 x^{5})

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