Recent content by belvol16

Homework Statement Homework Equations The Attempt at a Solution So I began by subtracting. (205-160)=55 i (495+128)=623 j Both of these vectors are in the positive direction. So if I divide the vector by its magnitude I should get an answer of 1 in the positive direction for both i and...

Homework Statement Homework Equations Ratio test. The Attempt at a Solution [/B] I guess I'm now uncertain how to check my interval of convergence (whether the interval contains -2 and 2)...I've been having troubles with this in all of the problems given to me. Do I substitute -2 back...

Homework Statement The direction of vectors A and B are given below for several cases. For each case, state the direction of A X B. a) A points east, B points south. b) A points east, B points straight down. c) A points straight up, B points north. d) A points straight up, B points straight...

I mean tn=(-1)n-1 * n/(n2 +4) I am new to the fourm and am still learning how to format things.

Homework Statement ∞ Σ (-1)n-1 n/n2 +4 n=1 Homework Equations lim |an+1/an| = L n→∞ bn+1≤bn lim bn = 0 n→∞ The Attempt at a Solution So I tried multiple things while attempting this solution and got inconsistent answers so I am thoroughly confused. My work is on the attached photo. I found that...

I guess I don't understand why the comparison test is applicable if you could obtain two different results. In one case it is 1/n!<1/n and that is divergent, but in another it is 1/n!<1/n^2 is convergent. I understand both of these inequalities are true and that 1/n! < 1/n^p is convergent for...

So I just used the ratio test and found that: lim |(1/(n+1)!)/(1/n)| = 0 <1 therefore it is absolutely convergent. n→∞ However, I am still wondering how one would solve this with the comparison test. I know that 1/n! < 1/n2 and 1/n2 is convergent because p=2>1. Would this be the way to solve it...

The book has the problem listed under the comparison tests. But we have also gone over The Integral test, Alternating Series, and Absolute Convergence and the Ratio and Root Tests.

Homework Statement Determine whether the series converges or diverges. ∞ ∑ 1/n! n=1 Homework Equations If ∑bn is convergent and an≤bn for all n, then ∑an is also convergent. Suppose that ∑an and ∑bn are series with positive terms. If lim an = C n→∞ bn where c is finite number and c>o...