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pop000
Feb 8, 2011, 03:44 AM
be {an} Definition by the Recurrence relation Formula (as you can see in the picture).
is also known that n >or=1 and a1=2

A)prove that for any n >or=1 Existing 1<or =an< or =3
http://p1cture.me/images/30404785521466373002.jpg

thanks

galactus
Feb 8, 2011, 04:07 AM
Consider the limit

L=\frac{4L-3}{L}

L^{2}-4L+3=0

pop000
Feb 8, 2011, 12:20 PM
OK I will try.
Thank you