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 Notation

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}

\int + x^{2} x^{3} + 27 d x

\frac{2 s e ^{- 3 s}}{3 s ^{2} + 27}

\frac{d}{d x} (\frac{1}{1 - x ^{2} - y})

\int \frac{e ^{\frac{4}{t}}}{t ^{2}} d t

\frac{d}{d x} (\frac{8 - x e ^{x}}{x + e ^{x}})

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