\(\displaystyle \displaystyle \mbox{1. }\, \lim_{n\, \rightarrow\, \infty}\, \dfrac{2n^3\, +\, n\, -\, 3}{(2n\, -\, 1)^3}\)

\(\displaystyle \displaystyle \mbox{2. }\, \lim_{n\, \rightarrow\, \infty}\, \dfrac{(n\, +\, 1)\,(n\, +\, 2)\,(n\, +\, 3)}{n^3\, +\, 2n\, +\, 1}\)

\(\displaystyle \displaystyle \mbox{3. }\, \lim_{n\, \rightarrow\, \infty}\, \dfrac{(3n\, -\, 1)\, (1\, -\, 2n)}{(2n\, +\, 3)\, (n\, -\, 3)}\)

Hey guys,

I know these examples are simple but i tried to solve them for about an hour and haven't succeed. Can someone help me?

Thank you in advance!

\(\displaystyle \displaystyle \mbox{2. }\, \lim_{n\, \rightarrow\, \infty}\, \dfrac{(n\, +\, 1)\,(n\, +\, 2)\,(n\, +\, 3)}{n^3\, +\, 2n\, +\, 1}\)

\(\displaystyle \displaystyle \mbox{3. }\, \lim_{n\, \rightarrow\, \infty}\, \dfrac{(3n\, -\, 1)\, (1\, -\, 2n)}{(2n\, +\, 3)\, (n\, -\, 3)}\)

Hey guys,

I know these examples are simple but i tried to solve them for about an hour and haven't succeed. Can someone help me?

Thank you in advance!

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