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

The limit as x approaches 2 of (2x+1)/(x+2) is 5/4

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

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

\frac{5}{4}

Decimal

1.25

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{5}{4}

What is the limit as x approaches 2 of (2x+1)/(x+2) ?
The limit as x approaches 2 of (2x+1)/(x+2) is 5/4