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

The limit as x approaches 1 of (x-1)/x is 0

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

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

0

Solution steps

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

Plug in the value

x = 1

= \frac{1 - 1}{1}

Simplify

= 0

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What is the limit as x approaches 1 of (x-1)/x ?
The limit as x approaches 1 of (x-1)/x is 0