z¹-1 Find the following limit 1 = limi in z-i z-ez

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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SOLVE STEP BY STEP IN DIGITAL FORMAT
yyy VÜ Ð·♥¯
A A * * * !! ?? !! ??! ¿¡ !?
√√√XXXXX O
DO
¶ d
W x ga i WI 10
Find the following limit 1 = lim
in z-i
z-e 2
♫♬b #°Ø
*** ++
† ☨ + + 9 卡X+
+6+4
(RO O °C °F ° * *4**✿*
*********
► AVADA A
***
Þ 4 VO
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT yyy VÜ Ð·♥¯ A A * * * !! ?? !! ??! ¿¡ !? √√√XXXXX O DO ¶ d W x ga i WI 10 Find the following limit 1 = lim in z-i z-e 2 ♫♬b #°Ø *** ++ † ☨ + + 9 卡X+ +6+4 (RO O °C °F ° * *4**✿* ********* ► AVADA A *** Þ 4 VO
Expert Solution
Step 1

We evaluate the following limit:

                                           l=limzeiπ2 z4-1z-i

We use the following Euler's identity:

                                   eiθ=cos(θ)+isin(θ)

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