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

The limit as x approaches 3 of (4x-4)/(5x-1) is 4/7

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

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

\frac{4}{7}

Decimal Notation

0.57142 \dots

Solution steps

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

Plug in the value

x = 3

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

Simplify

\frac{4 \cdot 3 - 4}{5 \cdot 3 - 1} : \frac{4}{7}

= \frac{4}{7}

\frac{d}{d x} (\frac{5 x}{x ^{2} + 7})

x \to 0 lim (\frac{x}{2 x})

\int_{0}^{\frac{π}{6}} 1 - cos (6 x) d x

x \to 0 lim ((1 + 7 x)^{\frac{1}{x}})

\int \frac{( y + 1 )}{y ^{2} + y + 1} d y

What is the limit as x approaches 3 of (4x-4)/(5x-1) ?
The limit as x approaches 3 of (4x-4)/(5x-1) is 4/7