Domain of definition of a complex fonction

[azure timber]

how can i find the domaine of definition of this fonction ?

[keen seal]

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[raw plinth]

think: when is the denominator zero

[azure timber]

yeah i know

but i don’t know when z = i

oh wait

is it R\ {i} ?

[raw plinth]

❌

[azure timber]

bruh

[raw plinth]

𝑖 ∉ ℝ

[azure timber]

i have to resolve the equation z- i = 0

?

oh nooo

i would say C\ {i}

is it this answer @raw plinth ?

[raw plinth]

✅ 🎉

[azure timber]

SUIIIIII

bro it was easy

i am a big noob

[raw plinth]

no worries
every master begins as a newbie