Determine whether the series is convergent or divergent. Sum from n=1 to infinity of (3n+2)/n(n+1)
S summergrl New member Joined Feb 21, 2007 Messages 33 Apr 9, 2007 #1 Determine whether the series is convergent or divergent. Sum from n=1 to infinity of (3n+2)/n(n+1)
skeeter Elite Member Joined Dec 15, 2005 Messages 3,216 Apr 9, 2007 #2 do the limit comparison test with the known divergent series 1/n.
S summergrl New member Joined Feb 21, 2007 Messages 33 Apr 9, 2007 #3 okay how do u know it compares to 1/n?
pka Elite Member Joined Jan 29, 2005 Messages 11,976 Apr 9, 2007 #4 summergrl said: okay how do u know it compares to 1/n? Click to expand... \(\displaystyle \L \frac{{\deg (1)}}{{\deg (2)}}\)
summergrl said: okay how do u know it compares to 1/n? Click to expand... \(\displaystyle \L \frac{{\deg (1)}}{{\deg (2)}}\)
S summergrl New member Joined Feb 21, 2007 Messages 33 Apr 9, 2007 #5 okay, so does (n^2-1)/(3n^4+1) compare to 1/3n^2?
pka Elite Member Joined Jan 29, 2005 Messages 11,976 Apr 9, 2007 #6 summergrl said: okay, so does (n^2-1)/(3n^4+1) compare to 1/3n^2? Click to expand... Yes Indeed. You have it.
summergrl said: okay, so does (n^2-1)/(3n^4+1) compare to 1/3n^2? Click to expand... Yes Indeed. You have it.
