i power i

ii = ?

10 Answers

33
Abhishek Priyam ·

No idea...

62
Lokesh Verma ·

sorry hadbadi me gadbadi.. ...

try i = eiz

find z and then try...

62
Lokesh Verma ·

one prooof:
x = ln(ii)
x = i ln(i)
i √-1
x = (i/2) ln(-1)

ln(-1) = i(pi)?? (how?)
x = (i . i . (pi)) /2
x = -(pi)/2
ii= e-pi/2 = .28 (if i remember correctly!)

now tell what is the mistake!

U will get some reference on the net saying that this iis the actual value..
But this is not!!!

62
Lokesh Verma ·

actually ... 0.207879576

1
Pratyush Tiwary ·

I suppose you must have seen that your proof is correct by now, but nevertheless:

e^(i*pi) = -1 (De Moivre's Theorem)
So ln(-1) = i*pi
Thus, as you say, i^i = e^(-pi/2), which is indeed 0.2079 .

Pratyush

62
Lokesh Verma ·

But there is a small flaw here!

Find it!

62
Lokesh Verma ·

or may be you could say a small thing that was overlooked!

33
Abhishek Priyam ·

no idea, mai to sirf log(+ve) janta hun...

62
Lokesh Verma ·

e^(i*pi) = -1

yahan thoda sa locha hai...

like it could even be

e^(i*3pi) = -1

so then, the answer would be

e^(-3pi/2), which is not 0.2079 .

infact ii is e(2n+1)pi for all integers N

So it is indeterminate!! it is something like 0/0 can take so many values!

1
Kumar Saurabh ·

what is this!!

baap re!!!

hmm
but i think i understand this proof

Not this second part but.

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