Its a normal summation for K=0 and goes to infinite for
how do I show this converges... I know it does but I forgot how, using limit comparison, comparison, divergence, ratio, root, abs. ratio, abs. root, or AST.
so Im digging through my backpack and I find a paper explaining the AST for oscillating harmonics lol
Now tell me this... is a multiple of a harmonic only when its 1/k multiplied by a number > 1 ?
so like 1/2k this would not be a multiple of a harmonic?
because by AST, we also take the lim as x approaches infinte... 1/2k+1 compares to 1/k .. 1/2k+1 < 1/k aww which proves nothing.. darn it but the limit comp. text proves its 1/2 . Thus the two act similiar so it diverges.. or did I mess that up somewhere?