- #1
zelmac
- 5
- 0
Homework Statement
Check whether the sequence [itex]a_{1}=\alpha ,\alpha > 0, a_{n+1}=6*\frac{a_{n}+1}{a_{n}+7}[/itex] converges and find its limit if it does, depending on α.
Homework Equations
The Attempt at a Solution
I showed boundedness([0,6]) and found that in the case of convergence the limit is 2, but I don't know how to check its convergence... Any help is appreciated :)