What is the limit as z approaches 10 of 1/(z-10) ?

The limit as z approaches 10 of 1/(z-10) is diverges

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limit as z approaches 10 of 1/(z-10)

z \to 10 lim (\frac{1}{z - 10})

diverges

Solution steps

z \to 10 lim (\frac{1}{z - 10})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

z \to 10 + lim (\frac{1}{z - 10}) = \infty

z \to 10 - lim (\frac{1}{z - 10}) = - \infty

= diverges

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What is the limit as z approaches 10 of 1/(z-10) ?
The limit as z approaches 10 of 1/(z-10) is diverges