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 0

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

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

0

Solution steps

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

Plug in the value

x = 2

= \frac{2 - ∣ 2 ∣}{2 + 2}

Simplify

\frac{2 - ∣ 2 ∣}{2 + 2} : 0

= 0

(4 x + 3)^{5}

y^{^{''}} - 3 y^{^{'}} - 4 y = 6 e^{2 t}

\frac{\partial}{\partial x} (e^{- (x^{2} + y^{2} + z^{2})})

x \to 0 + lim (\frac{3 x e ^{2 x}}{sin ( 6 x )})

y^{^{'}} = 0.0015 y (400 - y)

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 0