Recent content by TheRascalKing

Homework Statement Let b be a positive integer and consider any set S of b+1 positive integers. Show that there exists two different numbers x, y ∈ S so that x mod b = y mod b Homework Equations The Attempt at a Solution Pretty stumped. I tried for a while to use different values...

Hello all, so I'm sick of connecting wirelessly from my router (in the bottom, rear, west corner of my house) to the room where I do all of my work (the top, front, east corner). I decided I'm going to run a cable along the outside of the house and into the work room. The cable will not be...

Homework Statement I need to fin the sum of the following two infinite series: 1. Ʃ[n=0 to ∞] ((2^n + 3^n)/6^n) and 2. Ʃ[n=2 to ∞] (2^n + (3^n / n^2)) (1/3^n) Homework Equations use the sum Ʃ[n=2 to ∞] (1/n^2) = ∏^2 / 6 as necessary The Attempt at a Solution I tried to manipulate them...

Thanks, got it now. I was using the Limit Comparison test wrong >.<

Homework Statement I need to use the Comparison Test or the Limit Comparison Test to determine whether or not this series converges: ∑ sin(1/n^2) from 1 to ∞ Homework Equations Limit Comparison Test: Let {An} and {Bn} be positive sequences. Assume the following limit exists: L =...

Ok, so I'm a little confused about why <p> = 0 for Hydrogen in the ground state. If someone explain the reasoning behind this, I'd greatly appreciate it. Also, and more importantly, does that mean that <p> = 0 for Hydrogen in other states as well? If not, how would you go about finding <p>...

Homework Statement I'm trying to calculate delta r * delta p for the Hydrogen atom in the 2s stateHomework Equations ψ(r) = (1/ 2√π) (1 / 2a)^(3/2) (2 - (r/a)) e^(-r/2a) where a is the bohr radiusThe Attempt at a Solution I figured out that <r> = 6a, but I'm at a loss as to how to figure out...