H hgaon001 New member Joined May 17, 2009 Messages 39 Aug 5, 2009 #1 -The sum from n=1 to infinity of (5)/4throot[(n^3)+4n+1] and.. -The sum from n=1 to infinity of (2n)/4throot[(n^8)+(2n^4)+1
-The sum from n=1 to infinity of (5)/4throot[(n^3)+4n+1] and.. -The sum from n=1 to infinity of (2n)/4throot[(n^8)+(2n^4)+1
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Aug 5, 2009 #2 Both of the problems are ‘made’ for the use of the limit comparison test. In the first, compare with \(\displaystyle \[\frac{1}{{\sqrt[4]{{n^3 }}}}\). In the second, compare with \(\displaystyle \[\frac{1}{n}}\).
Both of the problems are ‘made’ for the use of the limit comparison test. In the first, compare with \(\displaystyle \[\frac{1}{{\sqrt[4]{{n^3 }}}}\). In the second, compare with \(\displaystyle \[\frac{1}{n}}\).
