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December 5th, 2016, 04:57 PM  #1 
Newbie Joined: Dec 2016 From: World Posts: 1 Thanks: 0  Upper and lower bound of A1 and A2 ( please help me out)
Find upper bound and lower bound of : A1=2(1)^n+1 + [(1)^(n(n+1)/2) * (2+3/n)]. n∈N∗ , A2=(n+1)/(n+2) * cos(n*2pi/3). n∈N∗ , 
December 5th, 2016, 08:00 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 16,191 Thanks: 1147 
For A2, consider (n + 1)/(n + 2) and cos(n*2pi/3) separately. What progress can you make by doing that?

December 19th, 2016, 05:35 PM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,210 Thanks: 555 
In A1, is that ((1)^n)+ 1 or did you intend (1)^(n+1)? Also are you only asking for "upper bounds" and "lower bounds" or "least upper bounds" and "greatest lower bounds"? 

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