
Real Analysis Real Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
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: 17,139 Thanks: 1281 
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: 2,480 Thanks: 627 
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"? 

Tags 
bound, lower, upper 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Upper and Lower Bound Theorems  masters  Algebra  4  December 23rd, 2015 06:49 AM 
Lattice, least upper bound/greatest lower bound.  zaff9  Abstract Algebra  23  May 11th, 2013 03:57 PM 
Lower bound of an eigenvalue  Anton29  Real Analysis  1  June 13th, 2012 08:35 PM 
about least upper bound and ordered set  jwqwerty  Real Analysis  0  March 13th, 2012 04:20 AM 
Lower bound of an eigenvalue  Anton29  Calculus  0  January 1st, 1970 12:00 AM 