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})

Plug in the value

x = - 5

= \frac{∣ 5 - ( - 5 ) ∣}{5 - ( - 5 )}

Simplify

\frac{∣ 5 - ( - 5 ) ∣}{5 - ( - 5 )} : 1

= 1

2 sin (x^{2})

\frac{2 s ^{2} + 4 s + 5}{s ( s + 1 )}

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

x^{2} y^{^{'}} + x y = 2

- 2 x^{4}

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