What is the limit as x approaches 6 of 1/x-1/6 ?

The limit as x approaches 6 of 1/x-1/6 is 0

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limit as x approaches 6 of 1/x-1/6

x \to 6 lim (\frac{1}{x} - \frac{1}{6})

0

Solution steps

x \to 6 lim (\frac{1}{x} - \frac{1}{6})

Plug in the value

x = 6

= \frac{1}{6} - \frac{1}{6}

Simplify

= 0

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What is the limit as x approaches 6 of 1/x-1/6 ?
The limit as x approaches 6 of 1/x-1/6 is 0