Michael_Light Messages 112 Reaction score 0 Thread starter Feb 5, 2012 #1 Homework Statement Homework Equations The Attempt at a Solution I have no ideas how to continue. I also tried the comparison test but I don't know where to start. Please guide me...
Homework Statement Homework Equations The Attempt at a Solution I have no ideas how to continue. I also tried the comparison test but I don't know where to start. Please guide me...
Dick Science Advisor Homework Helper Messages 26,254 Reaction score 623 Feb 5, 2012 #2 You want the limit of the ratio as n->infinity. Look at just the [itex]\frac{(n+1)^k}{n^k}[/itex] part. That's the same as [itex](\frac{n+1}{n})^k=(1+\frac{1}{n})^k[/itex]. What is that limit?
You want the limit of the ratio as n->infinity. Look at just the [itex]\frac{(n+1)^k}{n^k}[/itex] part. That's the same as [itex](\frac{n+1}{n})^k=(1+\frac{1}{n})^k[/itex]. What is that limit?