Question

Show that the sequence {(4n-1)/(n-2)} is bounded for n>3

Answer 1

I don't think this is too tough I'm just not seeing it though

Answer 2

divide top and bottom by n

Answer 3

you should get
\[ \frac{ 4 - \frac{1}{n}}{1-\frac{2}{n}}\]

Answer 4

and 1/n for large n becomes very small. in the limit as n approaches infinity , 1/n approaches 0

Answer 5

Right that makes sense, thank you.