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If z(0)=(1-i)/2, then the value of the p...

If `z_(0)=(1-i)/2`, then the value of the product `(1+z_(0))(1+z_(0)^(2))(1+z_(0)^(2^(2))(1+z_(0)^(2^(3)))…..(1+z_(0)^(2^(n)))` must be

A

`(1-i)(1+1/(2/(2^(n-1))))`, if `n gt 1`

B

`(1-i)(1-1/2^(2^(n))), if n gt 1`

C

`(1-i)(1-1/(2^(n-1))), "if" n gt 1`

D

`(1-i)(1+1/2^(2^(n))), "if" n gt 1`

Text Solution

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The correct Answer is:
b
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
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