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 ∣})

4 - x

is negative when

x \to 4 +

. Therefore

∣ 4 - x ∣ = - 4 + x

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

\frac{4 - x}{- 4 + x} = - 1

= x \to 4 + lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (- 5 x e^{x})

e^{5 t s i n (2 t)}

e^{x}, x e^{x}, 0

\frac{\partial}{\partial x} (x^{2} + y^{2} + z^{2} - 25)

y^{^{'}} + 2 y = 2 x + e^{4 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