What is the limit as x approaches 3+of (|3-x|)/(3-x) ?

The limit as x approaches 3+of (|3-x|)/(3-x) is -1

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limit as x approaches 3+of (|3-x|)/(3-x)

x \to 3 + lim (\frac{∣ 3 - x ∣}{3 - x})

- 1

Solution steps

x \to 3 + lim (\frac{∣ 3 - x ∣}{3 - x})

3 - x

is negative when

x \to 3 +

. Therefore

∣ 3 - x ∣ = - 3 + x

= x \to 3 + lim (\frac{- 3 + x}{3 - x})

\frac{- 3 + x}{3 - x} = - 1

= x \to 3 + lim (- 1)

x \to a lim c = c

= - 1

\int 2 - 2 x d x

\frac{d}{d x} (3 x^{2} + x)

\frac{\partial}{\partial x} (- 6 + 5 - 3 y)

\int e^{x} \cdot x d x

\frac{216}{x ^{2} + 36}

What is the limit as x approaches 3+of (|3-x|)/(3-x) ?
The limit as x approaches 3+of (|3-x|)/(3-x) is -1