Recent content by Marylander

Thanks again for all the help.

Yeah, I caught that after I submitted it. Absent-minded simple messups. The edits have my corrected answer. The limit is 1, correct?

Great... Sure: elim(x(ln(1+1/x2)) lim xln(1+1/x2)=lim ln(1+1/x2)/(1/x) L'Hopital: Lim 1/(1+1/x2)*(-x-2)/-x-2 Lim 1/(1+1/2)=1 e1 EDIT: Ah. There's where I messed up. It should be... Edit2: elim 2/(x(1+1/x2) That limit is 0, so it's e0=1, which was my original answer.

Didn't think to. Too used to not having it. Good, thanks for checking.

Haven't done one of these in awhile and I was looking for a place to make sure I was doing it right. Hopefully one of you can take the time to look it over? Homework Statement Find the unique solution of the differential equation (3y^2)x(dy/dx)-x+1=0 for which y(e)=1 Homework Equations...

Very impressive monosyllables there. :smile: And thanks for the help. I see how to deal with this. Which is good, because it's just about inevitable that I'll have to for my final. If this board let me rep you or something I would, but you're just have to make do with the much-sought-after...

1^infinity is indeterminate? How? 1 is always 1, isn't it? EDIT: And sorry, the limit I'm trying to do isn't (1+1/x)^x, it's (1+1/x^2)^x. Is it the same process? EDIT2: Okay... so lim (1+1/x^2)^x is also e? Or at least that's what I got, anyway.

Homework Statement Compute lim as x goes to infinity of (1+1/x^2)^x Homework Equations I know that lim at infinity (1+1/x)^x=e I do not know if that is still valid with the x^2 there. I don't really think it is, but it's throwing me off. The Attempt at a Solution Beyond the...