[tex] \lim_{n \to \infty} \frac{3 \sqrt{n}+5 }{2n+7}= \lim_{n \to \infty} \frac{ \sqrt{n}(3+ \frac{5}{ \sqrt{n} }) }{ \sqrt{n}(2 \sqrt{n} + \frac{7}{ \sqrt{n} }) }= \lim_{n \to \infty} \frac{3+ \frac{5}{ \sqrt{n} } }{2 \sqrt{n}+ \frac{7}{ \sqrt{n} } } =0 [/tex], deoarece
a/∞=0.
