using limit properties how it becomes?

Asked Dec 08 '17 at 10:29

Active Dec 08 '17 at 11:06

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\begin{equation} \lim_{n \to \infty} \dfrac{(n-1)L_{n+1}+\dfrac{(n-2)L_{n-2}-F_{n-2}}{5}}{(n-2)L_n+\dfrac{(n-3)L_{n-3}-F_{n-3}}{5}} \end{equation}

how it becomes \begin{equation} \lim_{n \to \infty} \dfrac{nL_{n+1}+nL_{n-2}-F_{n-2}}{nL_{n}+nL_{n-3}-F_{n-3}} \end{equation}

the denominator 5 is missing i used to algebraically manipulate it but why is it 5 is missing?

edited Dec 08 '17 at 11:06

asked Dec 08 '17 at 10:29

Xanderfort

sorry the edited once is correct . – Xanderfort Dec 08 '17 at 10:32
Hey there. You might find this interesting:https://math.stackexchange.com/questions/132305/how-to-prove-that-lim-limits-n-rightarrow-infty-fracf-n1f-n-frac – David Reed Dec 08 '17 at 11:02
Where does this manipulation come from? – lhf Dec 08 '17 at 12:11
in the article "fibonacci numbers of tadpole graph" – Xanderfort Dec 08 '17 at 12:53
Ah, here: Fibonacci number of the tadpole graph – lhf Dec 09 '17 at 00:06
since it is going to phi the author of this paper remove 5 immediately in able to simplify the equation – Xanderfort Dec 09 '17 at 09:27
Please see my answer to the same question here: https://math.stackexchange.com/questions/2557064/i-have-this-home-work-problem-bit-confusing-algebraically/2576076#2576076 – Cye Waldman Dec 21 '17 at 19:39

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