(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need tounderstandand prove the following: That if a>1 the function diverges, except for a special case x_0= b/(1-a). Then if a=-1 diverges for some cases and converges if x_0 is b/2. Again, not to clear on this.

2. Relevant equations

lim n →∞ a^n(x_0+b/(a-1))-b/(a-1)

3. The attempt at a solution

For a>1, then we just need to look at x_0 and b/(a-1)? If x_0 > b/(a-1), then this is + and still diverges, then we rely on -b/(a-1)? I am kind of confused and any help would be appreciated.

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# Homework Help: Iteration, linear function. convergence and divergence

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