pie eyed
Just a sick and quilly.
What is e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(....e ^(pi/2 i)))...))) ?
What is e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(pi/2 e^(....e ^(pi/2 i)))...))) ?
Labels: mathemagic, SharedPuzzle
posted by Chris at
9:36 AM
11 Comments:
3.14159
No, but a worthy guess.
you mean quick and silly ^^
limit->oo
Rat's thight.
Your answer isn't though.
Soz that it overflowed the line, but it's still readable. Read it again, but more carefully.
ok dunno if i understood, but i read Pi TIMES e^...
then its at the end:
...^(Pi*e^(Pi*e^(i*Pi)))...)
with e^(i*Pi)=-1 you get
...^(Pi*e^(Pi*(-1))...)
which is ...^(Pi*(1/(e^Pi)))...)
being 1/e*pi p.retty s.mall n.umber (~1/20)=PSN but greater zero-> e^PSN ~ 1 -> e^1 = e -> e^e~15 and so on. Repeat this often enough and you get infinity...
oh even forgot that Pi, so it grows even faster
Well done. I'm an idiot. I wrote it wrong. I'll fix it in a minute. Sorry about that.
Really silly bit is that hte problem was rubbish anyway.
Ok tha b..::H. You should sort it out in a few seconds now. Your TIMES interpretation was right. I sometimes use a space to imply times, other wise the expression get too ugly.
I'm so embarrassed about the mistake. Especially with such a naff problem.
hehe, still not sure, is it e^((Pi/2)*i) or e^(Pi/(2i))
but now its too late, will look tomorrow ;)
t.b..H - e^((Pi/2)*i) ia the correct interpretation.
i
Anonymous, you got it.
Apologies to t.b..H. my bad in original post.
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