If $$\lim_{x\to +\infty}\frac{f(x+1)}{f(x)}=2$$ then calculate $$\lim_{x\to +\infty}\frac{f(x+14)-3147f(x+1)}{f(x+2)+f(x)}$$
Where should I start to solve this problem? This is not a homework. Only I need a hint.
2026-04-13 05:51:22.1776059482
Where should I start to solve this problem?
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$\displaystyle \frac{f(x+14)-3147f(x+1)}{f(x+2)+f(x)}=\frac{\frac{f(x+14)}{f(x+13)}\cdot\frac{f(x+13)}{f(x+12)}\cdot\cdots\cdot\frac{f(x+2)}{f(x+1)}-3147}{\frac{f(x+2)}{f(x+1)}+\frac{f(x)}{f(x+1)}}$