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I got stucked while I was working out whether $$\frac{4n-3}{n+43}$$ converges. I would be pleased if I could a hint of the above question.

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    Could you possibly format your question so it will not refer to the title, perhaps include some of your own work and say what did you try and where did you get stuck?2011-04-29
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    Hint: $$\frac{4n+3}{n+43}=\frac{n(4+\frac{3}{n})}{n(1+\frac{43}{n})}$$2011-04-29
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    http://math.stackexchange.com/questions/33970/finding-the-limit-of-fracqnpn-where-q-p-are-polynomials/33971#339712011-04-29

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