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

The limit as x approaches 1 of 1/(x(x+2)) is 1/3

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

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

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{1}{1 \cdot ( 1 + 2 )}

Simplify

= \frac{1}{3}

(1, - 7), (2, - 1)

m^{2} (\frac{c}{2} - \frac{m}{3})

\int \frac{1}{25 x ^{2} + 16} d x

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

\int \frac{- 9 x ^{2}}{4 x - x ^{2}} d x

What is the limit as x approaches 1 of 1/(x(x+2)) ?
The limit as x approaches 1 of 1/(x(x+2)) is 1/3