What is Integral test: Definition and 54 Discussions
In mathematics, the integral test for convergence is a method used to test infinite series of monotonous terms for convergence. It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test.
1) http://www.geocities.com/asdfasdf23135/calculus02.JPG
This question comes from a section (infinite series) related to the integral test, basic comparsion test, and limit comparsion test, so I believe that I have to use one of them. However, I seriously have no idea how to prove this...can...
*This was accidently posted in the 'Calculus & Analysis' section. Moderators can delete that one. Sorry.*
I took a test today. I wanted to know if I set my limits up correctly and got the right answer, because I've been having problems with that. Okay, here is the question:
A space is...
I took a test today. I wanted to know if I set my limits up correctly and got the right answer, because I've been having problems with that. Okay, here is the question:
A space is bounded by x = 0, y = 0, xy-plane, and the plane: 3x + 2y + z = 6. Find the volume using a double integral...
How many terms of the series \sum^{\infty}_{n=2} \frac{1}{n(ln\;n)^{2}} would you need to add to find its sum to within 0.01?
Here's what i got:
let f(n) = \frac{1}{n(ln\;n)^{2}} . Since f(n) is continuous, positive and decreasing for all n over the interval [2,\infty] , we can use...