F.4 MATNs

2010-09-18 7:06 am
sqrt(2sqrt(2sqrt(2sqrt(2......
=2

我想知solution 同點解?
thx...

回答 (2)

2010-09-18 8:57 am
Let y=sqrt(2sqrt(2sqrt(2sqrt(2......
=> y^2=2sqrt(2sqrt(2sqrt(2......
(y^2)/2=sqrt(2sqrt(2sqrt(2......
(y^2)/2=y
y(y/2-1)=0
=> y=0 (rej.) or y/2=1 => y=2=sqrt(2sqrt(2sqrt(2sqrt(2......


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