Recent content by kmacinto

Homework Statement The context of the problem is that it's a vector valued function (VVF) problem where I'm supposed to sketch a curve generated by a VVF. To make the sketching easier I'm supposed to convert a VVF to a real valued function so that I can take advantage of the shape of a curve...

Integration by parts is the way I would go. Try both functions for u. Ya got a 50% chance that your 1st choice is the correct one :)

I think I have it... If the numerator is positive for all n, I can just use the direct comparison test with B sub N = 1/n which is a divergent p-series and since B sub N is less than A sub N, A sub N also diverges... right?

Homework Statement Why does this series diverge?Homework Equations \sum_{n}^{\infty }\frac{-1^{(2n+2)}}{n+1}The Attempt at a Solution I must be missing a rule with the -1 sign. My logic is that for all n, the numerator = 1 since anything to the power of 2 is even and adding the 2 doesn't...

Also try it by letting u=(the entire denominator). For me, it's easier (and cleaner) to sub for the square root and then not have to worry about it (the sqr. root) again until converting back from u to x... Either way will work tho...

What is the question and where is your attempt? I'm new here, but I don't think I'm out of line by saying that this is a "help" community and not a "do" community... If you just want the answer to your problem, plug it into wolfram... If you want some "help", state specifically what you've...

Omg! I was working the pants off the denominator and totally missed that the numerator was the key! Thanks! Ken

I guess it doesn't seem obvious to me using the difference of squares then... Would you mind writing it out? Ken

Can you use L'Hospital's rule for something like this? The limit is in the indeterminate form of 0/0 and the result of one iteration of L'Hospital is 2√x which is continuous at x=4... Am I cheating here?