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...
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...
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...