Recent content by calculus_guy4

On my test it asked what causes surface tension. The teacher says the correct answer is that "the intermolecular forces are stronger at the surface of a liquid than in the bulk of the liquid." Is that correct?

"the integral of 1/(x sin(x)) can converge only if the integral of 1/x^2 does. So does the integral of 1/x^2 converge? " Since 1/x^2 is smaller than 1/xsinx, if you compare the two functions all you can say is that 1/xsinx diverges if 1/x^2 diverges, right? You can't say anything about...

I still don't quite understand. So I need a function that converges that is bigger than the original function in order to prove the original function converges or a function smaller than the original function that diverges to prove that the original function diverges. Is that correct? So is...

Homework Statement Use the Comparison Theorem to evaluate whether Integral(dx/(x*sinx)) on 0->pi/2 converges or diverges. The Attempt at a Solution I don't understand what to do about 0. Am I allowed to compare it to 1/x even though 1/x is undefined at 0? Like-wise am I allowed to...