- #1
- 4
- 0
Homework Statement
lim (x-->infinity) [(sqrt(cosX)-cosX)/(x^2)]
Homework Equations
hey guys, can anyone please help me solve this limit (without a calculator..)
10x!
Hint: draw the graph …lim (x-->infinity) [(sqrt(cosX)-cosX)/(x^2)]
ok … so why is it going to 0? …I drew the graph, it seems to be going to zero when x->∞
YesThe case for x->0 is much easier - the answer is 1/4...
is that what u meant?
Yes it is defined …ok.. I think I see where u're going with this...
so it's actually not defined when x->∞
Yup!well...
the bottom obviously goes to ∞ when x->∞
I think you're worrying too much about the fact that it obviously doesn't convergeand as for the top.. I have no idea...
that's where i got stuck the 1st time..
what do you do with cosx when x->∞?