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

x \to 0 - lim (2^{\frac{1}{2}})

x \to 0 lim (\frac{2 ^{x} + 3 ^{x} - 2}{x})

x \to 0 + lim (2 x (ln (x)))

x \to + 3 lim (\frac{5}{x - 3})

x \to 0 + lim (2 x (ln (x))^{2})

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