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March 20th, 2010, 09:10 PM
#1
Valid question or not?
Can you check to see if this is even a valid question. I got this challenge from someone and I believe there's no way to solve it but have a look. I can't find a perfect bounded above value...I tried one, no good, tried 2, 3, 4, won't work.
Thanks in advance
This is a calculus type problem.
Given
a1= 3 as in 'a subscript 1'
For n greater than or equal to an+1 = sqrt of 3+an
SHOW an is increasing and bounded above. SHOW an (a subscript n) approaches L and find L
FIND Limit an as n approached infinity
Requires induction for the showing part.
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