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 diverges

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

x \to 4 lim (\frac{∣ 4 - x ∣}{4 - x})

diverges

Solution steps

x \to 4 lim (\frac{∣ 4 - x ∣}{4 - x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 4 + lim (\frac{∣ 4 - x ∣}{4 - x}) = - 1

x \to 4 - lim (\frac{∣ 4 - x ∣}{4 - x}) = 1

= diverges

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

2 y^{^{''}} + y^{^{'}} - 3 y = 0

y^{^{'}} = \frac{y}{4 x}

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2} - 20)

d er i v a t i v e \frac{y}{3}

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 diverges