Calculus Sequence question?
In general im confused with this stuff so if you have any gneral overall tips I wouldnt mind hearing that stuff too.
the specific problem is-
Determine whether or not the sequence an=nr^n where |r|<1 converges or not?
I realize if i look at the limit then i get inf*0 and if i rearrange to n/(r^-n) i get inf/inf and should be able to apply L'Ho
this is where i start getting lost...from what i can remember ...
lim n->inf: 1/(r^-n ln(r)) which would give me 1/-inf.....does this then equal 0 that is 1/something growing infintely larger?
appologies i left out most of the lim n-> notation but ti think you get the idea...
- ted sLv 78 years agoFavorite Answer