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

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

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

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

1

Solution steps

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

Plug in the value

x = 1

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

Simplify

= 1

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