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http://www.asyura2.com/16/bd62/msg/846.html

TubularLyric§
next且text➺e^(xit),x↤π

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lim_k=1⇢∞Λ_k{Λ_k:k+i²<∞⇠lim_n=2⇢∞ n^i²λ≦Λ_k≦lim_n=2⇢∞ (0!-n^i²)λ⇢∞ k+i²<∞⇠lim_n=2⇢∞ n^i²λ≦Λ_k:Λ_k↭k+i²{↭|↭∋lim_h=2⇢∞ h▢h^i²‖lim_▢=1+i²→9 ▢h} ➝ ↭_r
lim_k=1⇢∞ k:1≅0! ➝ λ⇔0!⇔2↭_r　→　2π↭_r
2π↭_r,Λ_1:Λ_1=2^i² ➝ tan2^i²π⇔2^i²+i↭_r,tan2^i²3π⇔2^i²-i↭_r
∴ lim_k=1⇢∞ Λ_k:Λ_k±i↭_r
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http://naoyafujiwara.cocolog-nifty.com/ipodcasting/2021/01/post-f98ffa.html
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lim_k=1⇢∞ 2k+i²-Λ_k:Λ_k↭2k+i²{↭|↭=(2k+i²)-2^i²(2k+i²),↭∋lim_h=2⇢∞ h_▢h^i²‖lim_▢=1+i²→9 ▢h} ➝ ↭_r_k
lim_k=1⇢∞ ↭_r_k　→　lim_k=1⇢∞ 2π↭_r_k　→　2π↭_r_1⇔2π↭_r
lim_k=1⇢∞ 2π↭_r_k{2π↭_r_1,2π↭_r_2,2π↭_r_3...2π↭_r_k,2π↭_r_k+1...2π↭_r_Ω,2π↭_r_∞}
2π↭_r_∞,Λ_∞:Λ_∞=2^i²(2∞+i²)|lim_k=1⇢∞ 2k+i²↦Õ_k{Õ_1,Õ_2,Õ_3...Õ_k,Õ_k+1...Õ_Ω,Õ_∞}
2π↭_r_∞,Λ_∞:Λ_∞=2^i²Õ_∞ ➝ tan2^i²π⇔2^i²Õ_∞+i↭_r_∞,tan2^i²3π⇔2^i²Õ_∞-i↭_r_∞
2π↭_r_1,Λ_1=2^i²:2^i²+itan2^i²π,2^i²-itan2^i²3π
∴ lim_k=1⇢∞ Λ_k:Λ_k±Im axis
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