What is the limit as x approaches 5+of (5-x)/(|5-x|) ?

The limit as x approaches 5+of (5-x)/(|5-x|) is -1

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limit as x approaches 5+of (5-x)/(|5-x|)

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

- 1

Solution steps

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

5 - x

is negative when

x \to 5 +

. Therefore

∣ 5 - x ∣ = - 5 + x

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

\frac{5 - x}{- 5 + x} = - 1

= x \to 5 + lim (- 1)

x \to a lim c = c

= - 1

ln (4 x + 7)

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

\frac{\partial}{\partial x} (- y sin (x))

\frac{d}{d x} (\frac{sin ( 2 x )}{tan ( x )})

\frac{1}{( x + 2 )}

What is the limit as x approaches 5+of (5-x)/(|5-x|) ?
The limit as x approaches 5+of (5-x)/(|5-x|) is -1