What is the limit as z approaches-i of (im(z))/z ?

The limit as z approaches-i of (im(z))/z is im

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limit as z approaches-i of (im(z))/z

z \to - i lim (\frac{im ( z )}{z})

im

Solution steps

z \to - i lim (\frac{im z}{z})

Plug in the value

z = - i

= \frac{im ( - i )}{- i}

Simplify

\frac{im ( - i )}{- i} : im

= im

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What is the limit as z approaches-i of (im(z))/z ?
The limit as z approaches-i of (im(z))/z is im