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Q.

One of the values of ii  is

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a

e−π2

b

eπ2

c

d

e−π

answer is A.

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Detailed Solution

ii=[cos(π2+2rπ)+isin(π2+2rπ)]i,r=0,±1,±2  ..... [ei(π2+2rπ)]i=e−(π2+2rπ),    r=0,±1,±2,.........We get ii=e−π2  when r=0 ALTERNATE: let ii=a+ib⇒ilogi=log(a+ib)⇒i.iπ2=log(a+ib)    ∴a+ib=e−π2
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