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

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

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

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{1}{2}

a \to \infty lim (ln (a))

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

x \to 0 lim (∣ x ∣ sin (\frac{1}{x}))

x \to - 1 lim (1 - x)

x \to 3 lim (x + 3)

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