What is the limit as z approaches 0 of (Im(z))/z ?

The limit as z approaches 0 of (Im(z))/z is Undefined

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limit as z approaches 0 of (Im(z))/z

z \to 0 lim (\frac{I m ( z )}{z})

Undefined

Solution steps

z \to 0 lim (\frac{I m ( z )}{z})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= I \cdot z \to 0 lim (\frac{m ( z )}{z})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= I \frac{lim _{z \to 0} ( m ( z ) )}{lim _{z \to 0} ( z )}

z \to 0 lim (m (z)) = m (0)

z \to 0 lim (z) = 0

= I \frac{m \cdot 0}{0}

\frac{m 0}{0}

is undefined

= Undefined

\frac{2}{x}, 4

y = 4 x^{2}, y = 6 x^{2}, 5 x + y = 6 \geq 0

\int e^{3 x + 8} d x

\frac{d}{d x} (\frac{cot ( x )}{1 + csc ( x )})

What is the limit as z approaches 0 of (Im(z))/z ?
The limit as z approaches 0 of (Im(z))/z is Undefined