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

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

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

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

- 1

Solution steps

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

x - 3

is positive when

x \to 3 +

. Therefore

∣ x - 3 ∣ = x - 3

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

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

= x \to 3 + lim (- 1)

x \to a lim c = c

= - 1

y^{^{'}} = ln (x)

f (t) = (1 + e^{4 t})^{2}

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

e^{- 2 t - 5}

\frac{\partial}{\partial x} (y \cdot ln (x))

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