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

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

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

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

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

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

Plug in the value

x = 2

= \frac{2}{2 + 1}

Simplify

= \frac{2}{3}

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