Recent content by Watson91
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
Yeah blocking is a problem for me when it comes to calculus. I seem to get hung up on things that shouldn't be a problem for myself. I'm not sure how to overcome the issue though other than just asking for help.- Watson91
- Post #17
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
Yep the question is of the sequence. Thanks for helping me out on that problem, even though I drug it on. It really wasn't that difficult after I look back over it, but it always seems that way for me. I get a mental block and once I get past it I question why I couldn't solve it originally...- Watson91
- Post #15
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
What the question asks is to determine convergence or divergence. Maybe I am confusing the two. I think what would answer my question is; if you are able to find the limit then your sequence converges, I think this is correct for a sequence. To my knowledge the limit of 1/2n = 0, so if...- Watson91
- Post #13
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
Well I know that the lim of 1/n = 0 and diverges. By comparison I would say that 1/2n > 1/n which would make me believe it diverges. Would this be correct?- Watson91
- Post #11
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
Great, now back to my original question. How do I decide if the limit converges or diverges from here? This is the part I'm really stuck/confused about.- Watson91
- Post #9
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
I understand your concern now. I used what I thought was the chain rule by taking the derivative of the outside ( 1/n ) and then multiplied by the derivative of in the inside ( 1/2( sqrt(n) ). Really I did the problem incorrectly I can see because what I tried to say was n X sqrt(n) = n...- Watson91
- Post #7
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
Derivative = 1/n X 1/2\sqrt{n} = \frac{1}{2n}- Watson91
- Post #5
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
If I'm not mistaken the derivative of the ln \sqrt{n} = \frac{1}{2n} Please correct me if I'm wrong, I'm quite unsure of my work at this point to be honest.- Watson91
- Post #3
- Forum: Calculus and Beyond Homework Help
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Analyzing the Convergence of an an = ln\sqrt{n} / n Sequence
Homework Statement I have been asked to determine convergence or divergence of a sequence given the nth term. If the sequence converges, find its limit. an = ln\sqrt{n} / n Homework Equations The Attempt at a Solution I had thought that the sequence would follow L'Hopital's...- Watson91
- Thread
- Convergence Sequence
- Replies: 16
- Forum: Calculus and Beyond Homework Help