Suppose the summation from k=1 to n of a_k is absolutely convergent and {b_n} is bounded. Prove that this implies the summation from k=1 to n of a_k*b_k is absolutely convergent.
Radius of Convergence - Find the radius of convergence of
About x= (-1/3)
Thanks!
Please see the attached file for the fully formatted problem.
Calc II - Find the open interval of convergence and test the endpoints for absolute and conditional convergence.
Lp spaces and convergence - Please see the attached.
you can help with either part a or b. If you can help with one of them then I will try to figure out the other.
Also there is a typo on part a: Convergence of the sequence ...