I'm trying to solve this problem from the text but I can't seem to figure out how to exactly approach it. It says,
Find the limit of the convergent sequence,
$(\sqrt{2}-1)^n$ as n goes from 1 to $\infty$
I'm assuming I have to find the value of the sequence as n goes to infinity by applying the limit, but since its to the power n, I'm having bit of a trouble simplifying it. Please correct me if I'm wrong.
Answer
Note $0<\sqrt 2-1<1$. What do you know about $r^n$ if $|r|<1$?
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