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

The limit as x approaches 1/3 of (x+1)/(x+2) is 4/7

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

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

\frac{4}{7}

Decimal

0.57142 \dots

Solution steps

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

Plug in the value

x = \frac{1}{3}

= \frac{\frac{1}{3} + 1}{\frac{1}{3} + 2}

Simplify

\frac{\frac{1}{3} + 1}{\frac{1}{3} + 2} : \frac{4}{7}

= \frac{4}{7}

What is the limit as x approaches 1/3 of (x+1)/(x+2) ?
The limit as x approaches 1/3 of (x+1)/(x+2) is 4/7