trejon1203 trejon1203
  • 07-06-2023
  • Mathematics
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(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)

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