nilai dari limit 3x³ - 2x² + 3x - 4 / x² + x -2

[tex]lim \: \frac{ {3x}^{3} - {2x}^{2} + 3x - 4 }{ {x}^{2} + x - 2} \\ = lim \: \frac{(x - 1)( {3x}^{2} - x + 4) }{(x - 1)(x + 2)} \\ = lim \: \frac{ {3x}^{2} - x + 4 }{x + 2} \\ = \frac{3 ({1})^{2} - 1 + 4 }{1 + 2} \\ = \frac{6}{3} = 2[/tex]