(c) Show that the Taylor series of the function h(z) at z=2 is: h(z)= z
1

= 2+(z−2)
1

= 2
1

⋅ 1+(z−2)/2
1

(∣z−2∣<2). Then, by differentiating this series term by term, show that z 2
1

= 4
1

∑ n=0
[infinity]

(−1) n
(n+1)( 2
z−2

) n
(∣z−2∣<2)