What am I missing?
Hey all i thought i understood this question, but after having another look i think my solution is wrong.
"Show that the sequence {an} is bounded, where an, is given by
"
I know what if i show {an} is convergent, then it is therefore bounded.
My initial idea was to show that an was convergent by the alternating series test.
But thats the problem, its not a series.
So is my method correct, or shall i be approaching this differently?
Thanks for your help!
Leave alone for a moment the statement: "If is convergent then it is bounded".
Boundedness is a concept that comes before convergence,
"A sequence is bounded if there is a number M such that
for all n.
Convergence has nothing to do with boundedness so far.
Thats why Plato did what he did.