9. Verify the following claim in proof of Theorem 5.1.4: If a ∈ C, 0 ≤ r R ≤ ∞, and C is a simple closed contour in A(a; r, R) surrounding a, then there exists ρ > r such that C ⊆ A(a; ρ, ∞).

9. Verify the following claim in proof of Theorem 5.1.4: If
a

∈
C, 0
≤

r

R

≤ ∞, and

C
is a simple closed contour in
A(a;
r,

R) surrounding
a, then there exists
ρ

>

r
such that
C

⊆

A(a;
ρ,

∞).

May 12, 2022