lim x-> infinity (e^(-x)cosx) ?
First of all does the limit as x-> inifinity of cosx even exist?
I thought it would = inifinity but then again i feel like it DNE as well.
Ive atempted this problem in 2 ways, but i first would like to see if cosx as x approaches infinity even exists
So the only term that will really effect the limit will be the term. So we should see that .
Does this make sense?
EDIT: skeeter beat me to it.
So you mierly just "ignored" the cos and did the limit to e^-x which is 0?