lim mendekati tak hingga (3x -2)^3/(4x+3)^3

[tex]\lim_{x \to \infty} \frac{(3x-2)^{3}}{(4x+3)^{3}} \\ = \lim_{x \to \infty} (\frac{3x-2}{4x+3})^{3} \\ = \lim_{x \to \infty} (\frac{\frac{3x}{x}-\frac{2}{x}}{\frac{4x}{x}-\frac{3}{x}})^{3} \\ = \lim_{x \to \infty} (\frac{3-\frac{2}{x}}{4-\frac{3}{x}})^{3} \\ = (\frac{3-\frac{2}{\infty}}{4-\frac{3}{\infty}})^{3} \\ = (\frac{3-0}{4-0})^{3} \\ = \frac{27}{64} [/tex]