Convergence of a sequence and its limit – math.stackexchange.com

Convergence of a sequence and its limit – math.stackexchange.com

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Let $\{v_n\}$ be a sequence defined by $v_1=1$ and $v_{n+1}=\sqrt{v_n^2 +(1/5)^n}$, for $n\ge1$. Then find limit of the sequence $\{v_n\}$. I have found that the given sequence is monotone increasing ...

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