Recent content by I'm Awesome

Homework Statement A skier (m=59.0 kg) starts sliding down from the top of a ski jump with negligible friction and takes off horizontally. If h = 6.60 m and D = 10.6 m, find H. Homework EquationsThe Attempt at a Solution The solution was provided, this is a sample problem. I'm just very...

I have a problem which reads: A frictionless pulley with zero mass is attached to the ceiling, in a gravity field of 9.81 m/s2 . Mass M2 = 0.10 kg is observed to be accelerating downward at 1.3 m/s2 and I have a solution which tells me to solve the problem use Newton's 2nd law: m1a1 = T1 -...

Hello, not really new here, but just recently rediscovered the site. I use to come here a long time ago to get some help with homework, looking to visit the site a lot more now.

Sorry, I ment to say that the series diverges by the test for divergence because the limit is not equal to 0.

Homework Statement Determine whether the infinite series converges or divergens. If it converges find its sum. \sum^{∞}_{k=1} \frac{k-3}{k} Homework Equations The Attempt at a Solution I found the limit and realized that the limit is 1. So I said that the series converges by...

Okay. So in the previos example where the limit was equal -ln2 , do I have to solve for and indeterminate power to get that answer?

I'm still kinda confussed, so for example if I have the series: \sum_{n=1}^{+\infty} (-1)^n \frac{n}{n+1} Is the limit nonexistant or does it equal 1?

I would imagine that an alternating series that goes of to infinity doesn't have a limit because it keeps switching back and forth, but I can't find anything in my textbook about it. I just want to make sure that this is right.

Eve, would have been created first. God would have seen that it was good. No need for Adam. How do I get a hot billionare to marry me?

I think that people who struggle with math and need tutors wouldn't really benefit as much from an online tutor. Especially depending on what level of Math you're working with. I have a tutor for my Calculus II course and sometimes I don't even understand things with him sitting there right...

Okay, I tried the integral test. Does that answer look better now? Therefore, the seires is divergent by the integral test.

Comparison test, integral test, p-series test, root and ratio tests, and the alternating series test. I'm just not sure which on to use. I know it can't be an alternating series, or p-series.

Okay this is what I did. I decided not to use the ratio test anymore. http://img341.imageshack.us/img341/5567/calculus.png

Homework Statement Does \sum\frac{k}{1+k^2} converge? Homework Equations The Attempt at a Solution What I'm basically doing is using the ratio test. And at the end I get that the limit goes to ∞. Therefore it it is convergent. But I'm not sure if I'm using the right test or...

Yeah, U-M is good, but if you did want to go there make sure it's the Ann Arbor Campus.