Tính P = a + b^2.

\(\mathop {\lim }\limits_{n \to + \infty } \frac{{2{n^2} - 3\sqrt n + 1}}{{3n\sqrt n + 2n}} = \mathop {\lim }\limits_{n \to + \infty } \frac{{n\sqrt n \left( {2\sqrt n - \frac{3}{n} + \frac{1}{{n\sqrt n }}} \right)}}{{n\sqrt n \left( {3 + \frac{2}{{\sqrt n }}} \right)}} = \mathop {\lim }\limits_{n \to + \infty } \frac{{2\sqrt n - \frac{3}{n} + \frac{1}{{n\sqrt n }}}}{{3 + \frac{2}{{\sqrt n }}}}\).

Suy ra a = 2; b = 3. Do đó P = 11.

Trả lời: 11.