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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

\frac{0 ^{2}}{0 - 1} : 0

= 0

x \to 3 lim (3 x + 2)

x \to 5 lim (3 x + ∣ x - 5 ∣)

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

x \to 1 lim (x^{3} + 2)

x \to 0 + lim (\frac{sin ( 2 )}{2})

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