What is the limit as x approaches 1 of (x-1)|x-1| ?

The limit as x approaches 1 of (x-1)|x-1| is 0

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limit as x approaches 1 of (x-1)|x-1|

x \to 1 lim ((x - 1) ∣ x - 1 ∣)

0

Solution steps

x \to 1 lim ((x - 1) ∣ x - 1 ∣)

Plug in the value

x = 1

= (1 - 1) ∣ 1 - 1 ∣

Simplify

= 0

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\frac{d}{d x} (x^{\frac{4}{3}} + e^{- 5 x})

What is the limit as x approaches 1 of (x-1)|x-1| ?
The limit as x approaches 1 of (x-1)|x-1| is 0