4. Let f : C \ {0}→ C be given by f (z) = sin 1 , z n=1 and let α ∈ C. In the spirit of Example 5.2.9, construct a sequence {zn}∞ ⊆ C \ {0} such that zn → 0 and f (zn) → α as n → ∞.

4. Let
f
: C
\ {0}→

C be given by

f
(z) = sin 1
,

z

n=1

and let
α

∈

C. In the spirit of Example 5.2.9, construct a sequence
{
z
n
}
∞

⊆
C
\ {0}

such that
z
n

→
0 and
f
(z
n)
→

α
as
n

→ ∞.

May 12, 2022

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