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

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

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

x \to 3 lim (\frac{5 x - 1}{2 x + 1})

2

Solution steps

x \to 3 lim (\frac{5 x - 1}{2 x + 1})

Plug in the value

x = 3

= \frac{5 \cdot 3 - 1}{2 \cdot 3 + 1}

Simplify

\frac{5 \cdot 3 - 1}{2 \cdot 3 + 1} : 2

= 2

f (x) = 1 - 5 x

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