# Search results

1. ### Convergence testing of the series 1/(2^n-n)

Homework Statement Determine whether \sum\frac{1}{(2^{n}-n)} from n=1 to infinity converges or diverges. Homework Equations a_{n} converges if \stackrel{lim}{n\rightarrow\infty}\left|\frac{a_{n+1}}{a_{n}}\right|<1. The Attempt at a Solution I'm really having a tough time knowing...
2. ### Power Series Representation of a Function when a is a polynomial

Power Series Representation of a Function when "r" is a polynomial Homework Statement Find a power series representation for the function and determine the radius of convergence. f(x)=\stackrel{(1+x)}{(1-x)^{2}} Homework Equations a series converges when |x|<1...
3. ### Block Attached to Pulley Question

Homework Statement A 20-kg block with a pulley attached slides along a frictionless ledge. It is connected by a massless string through another pulley to a 5.0-kg block which hangs off the ledge. Find (a) the acceleration of each block, and (b) the tension in the connecting string...