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

The limit as x approaches 1 of (2x+3)/(x+1) is 5/2

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

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

\frac{5}{2}

Decimal Notation

2.5

Solution steps

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

Plug in the value

x = 1

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

Simplify

= \frac{5}{2}

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What is the limit as x approaches 1 of (2x+3)/(x+1) ?
The limit as x approaches 1 of (2x+3)/(x+1) is 5/2