What is the limit as z approaches 0 of 8/(z^3)+5/z+2 ?

The limit as z approaches 0 of 8/(z^3)+5/z+2 is diverges

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limit as z approaches 0 of 8/(z^3)+5/z+2

z \to 0 lim (\frac{8}{z ^{3}} + \frac{5}{z} + 2)

diverges

Solution steps

z \to 0 lim (\frac{8}{z ^{3}} + \frac{5}{z} + 2)

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

then the limit does not exist

z \to 0 + lim (\frac{8}{z ^{3}} + \frac{5}{z} + 2) = \infty

z \to 0 - lim (\frac{8}{z ^{3}} + \frac{5}{z} + 2) = - \infty

= diverges

What is the limit as z approaches 0 of 8/(z^3)+5/z+2 ?
The limit as z approaches 0 of 8/(z^3)+5/z+2 is diverges