(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)