What is the limit as x approaches 0 of x/((x-1)^2) ?

The limit as x approaches 0 of x/((x-1)^2) is 0

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limit as x approaches 0 of x/((x-1)^2)

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{0}{( 0 - 1 ) ^{2}}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

x \to 0 lim (arcsin (\frac{1}{x}))

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

x \to 3 lim (arcsin (\frac{x}{3}))

x \to 2 lim (- 2 x)

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

What is the limit as x approaches 0 of x/((x-1)^2) ?
The limit as x approaches 0 of x/((x-1)^2) is 0