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

\frac{\partial}{\partial x} ((\frac{1}{12}) π x^{2} y)

\int \frac{1}{( 25 - x ^{2} ) ^{\frac{3}{2}}} d x

\int \frac{2 x - 3}{x ^{2} 6 x ^{13}} d x

\int \frac{e ^{2 x}}{e ^{x} + 1} d x

x \to 0 lim (\frac{( x + 2 ) ^{2} - 8}{x})

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