Question

find the limit of s(n) as n -> infinity

Answer 1

\[s(n) = \frac{ 81 }{ n^4 }\left[ \frac{ n^2(n+1)^2 }{ 4 } \right]\]

Answer 2

just evaluate this like n = 10, 100, 1000, 10000, 100000 etc?

Answer 3

I think I need a frichin program to do this instead of doing it by hand

Answer 4

81/4

Answer 5

-.- how did you do that so quickly?

Answer 6

you know about horizontal asymtope of rational equations right?

Answer 7

I am getting 81 not 81/4

Answer 8

if they have a same degree, then the limit is the ratio between their leading coefficient

Answer 9

(81/4) (n^2(n+1)^2 / n^4)

Answer 10

n^4 canceled out in my calculation

Answer 11

no, nothing should be canceled

Answer 12

flutter .... you're right. I don't know what happened to my 1/4

Answer 13

^^