What is the limit as x approaches 3 of (4x-5)/(5x-1) ?

The limit as x approaches 3 of (4x-5)/(5x-1) is 1/2

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limit as x approaches 3 of (4x-5)/(5x-1)

x \to 3 lim (\frac{4 x - 5}{5 x - 1})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 3 lim (\frac{4 x - 5}{5 x - 1})

Plug in the value

x = 3

= \frac{4 \cdot 3 - 5}{5 \cdot 3 - 1}

Simplify

\frac{4 \cdot 3 - 5}{5 \cdot 3 - 1} : \frac{1}{2}

= \frac{1}{2}

What is the limit as x approaches 3 of (4x-5)/(5x-1) ?
The limit as x approaches 3 of (4x-5)/(5x-1) is 1/2