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

The limit as x approaches 4 of (x-4)/x is 0

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limit as x approaches 4 of (x-4)/x

x \to 4 lim (\frac{x - 4}{x})

0

Solution steps

x \to 4 lim (\frac{x - 4}{x})

Plug in the value

x = 4

= \frac{4 - 4}{4}

Simplify

= 0

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What is the limit as x approaches 4 of (x-4)/x ?
The limit as x approaches 4 of (x-4)/x is 0