i am tryint to find a cluster point of this sequence, but i am having difficulties in definitions.
the sequence is this: $(a_{n})_{n \in \Bbb{N}}$ with $a_{n}:=(2+(-1)^n)\frac{n}{n+1}$
the definition of a cluster point is: there is some number as a cluster point to which the subsequence of a sequence converges to.
but how to find them? there are many right?