How to prove using the definition of limit: – math.stackexchange.com

How to prove using the definition of limit: – math.stackexchange.com

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I have problem particularly with this: $$ \lim_{x \to \infty } \frac{5x^{2}+1}{7x^{2}-3} = \frac{5}{7} $$ I understand the logic of such proofs when it comes to simple functions as $f(x) = x + 4$ or ...

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