What is the limit as h approaches 0 of (1-(z+h)*2(z+h)-1-z*2z^{-1})/h ?

The limit as h approaches 0 of (1-(z+h)*2(z+h)-1-z*2z^{-1})/h is diverges

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limit as h approaches 0 of (1-(z+h)2(z+h)-1-z2z^{-1})/h

h \to 0 lim (\frac{1 - ( z + h ) \cdot 2 ( z + h ) - 1 - z \cdot 2 z ^{- 1}}{h})

diverges

Solution steps

h \to 0 lim (\frac{1 - ( z + h ) \cdot 2 ( z + h ) - 1 - z \cdot 2 z ^{- 1}}{h})

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

then the limit does not exist

h \to 0 + lim (\frac{1 - ( z + h ) \cdot 2 ( z + h ) - 1 - z \cdot 2 z ^{- 1}}{h}) = - \infty

h \to 0 - lim (\frac{1 - ( z + h ) \cdot 2 ( z + h ) - 1 - z \cdot 2 z ^{- 1}}{h}) = - 4 z

= diverges

\int \frac{3 x ^{2} + 6}{x ^{3} + 6 x} d x

\int_{0}^{1} (2 x - 1) e^{2 x} d x

\int 45 sin (3) (x) cos (2) (x) d x

x^{3}

x \to 1 + lim (e^{x})

What is the limit as h approaches 0 of (1-(z+h)*2(z+h)-1-z*2z^{-1})/h ?
The limit as h approaches 0 of (1-(z+h)*2(z+h)-1-z*2z^{-1})/h is diverges