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[tex]a_{1}=a_{2}=1;a_{n+2}=a_{n+1}+a_{n};n\geq 1 [/tex]

Let [itex]f_{n}[/itex] be the last digit in decimal notation

of Fibonacci number [itex]a_{n}[/itex].

Find:

[tex]\lim_{n\to\infty}\frac{a_{1}+a_{2}+...+a_{n}}{n}[/tex]

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# Fibonacci limit

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