What is the limit as x approaches-4 of (4-|x|)/(4+x) ?

The limit as x approaches-4 of (4-|x|)/(4+x) is 1

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limit as x approaches-4 of (4-|x|)/(4+x)

x \to - 4 lim (\frac{4 - ∣ x ∣}{4 + x})

1

Solution steps

x \to - 4 lim (\frac{4 - ∣ x ∣}{4 + x})

x

is negative when

x \to - 4

. Therefore

∣ x ∣ = - x

= x \to - 4 lim (\frac{4 - ( - x )}{4 + x})

Simplify

= x \to - 4 lim (1)

x \to a lim c = c

= 1

\frac{d}{d x} (csec x)

\frac{\partial}{\partial x} (5 - x^{2} + 3 y^{2})

3 x^{2}, at x = 2

x \to 0 lim (\frac{1 + x}{x})

y^{^{''}} = e^{- x}

What is the limit as x approaches-4 of (4-|x|)/(4+x) ?
The limit as x approaches-4 of (4-|x|)/(4+x) is 1