Question

examine the behaviour of the sequence {(n+(-1)^n)/n}​

Answer 1

Answer:

I am currently interested in the following sequence:

{u0un==αu2n−1−n

where α>C≈1.75793275... with C being the Nested Radical Constant.

I'm interested to get the behaviour of this sequence as n grows to infinity.

Furthermore, even though I would love to have an answer for any α, you can for the sake of simplicity simply consider the case where α=2. In what follows, I consider only this case.