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

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

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

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

3

Solution steps

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

Simplify

\frac{3 - \frac{3}{x}}{x - 1} : \frac{3}{x}

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

Plug in the value

x = 1

= \frac{3}{1}

Simplify

= 3

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