Question: Please help me with the second image, number 3 below. Thank you! Theorem 5.8. Consider a power series f(z) = Can(z - zo). 1. If

Please help me with the second image, number 3 below. Thank you!

Theorem 5.8. Consider a power series f(z) = Can(z - zo)". 1. If f converges at a point z1 / Zo, then it is absolutely convergent at Z . Ro every point z satisfying |z - zo| Ro. Proof. 1. By the nith term test, the sequence (an (Z1 - Zo)" ) converges (to 0) and is therefore bounded by some MER+. Thus [am| |z - zo|" = [an| |21 - zol" z - ZO Ro. Prove that f (z) diverges

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