What is the limit as x approaches 6 of (x+2)/((x+6)) ?

The limit as x approaches 6 of (x+2)/((x+6)) is 2/3

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limit as x approaches 6 of (x+2)/((x+6))

x \to 6 lim (\frac{x + 2}{( x + 6 )})

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

x \to 6 lim (\frac{x + 2}{x + 6})

Plug in the value

x = 6

= \frac{6 + 2}{6 + 6}

Simplify

\frac{6 + 2}{6 + 6} : \frac{2}{3}

= \frac{2}{3}

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What is the limit as x approaches 6 of (x+2)/((x+6)) ?
The limit as x approaches 6 of (x+2)/((x+6)) is 2/3