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

The limit as x approaches 3 of x/(3x-1) is 3/8

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

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

\frac{3}{8}

Decimal Notation

0.375

Solution steps

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

Plug in the value

x = 3

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

Simplify

= \frac{3}{8}

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What is the limit as x approaches 3 of x/(3x-1) ?
The limit as x approaches 3 of x/(3x-1) is 3/8