Evaluate the following limit : lim(x→∞) (3x^-1 + 4x^-2)/(5x^-1 + 6x^-2)

Question

Evaluate the following limit : \(\lim\limits_{\text x \to\infty}\cfrac{3\text x^{-1}+4\text x^{-2}}{5\text x^{-1}+6\text x^{-2}} \)

lim(x→∞) (3x^-1 + 4x^-2)/(5x^-1 + 6x^-2)

Answer 1

Given: \(\lim\limits_{\text x \to\infty}\cfrac{3\text x^{-1}+4\text x^{-2}}{5\text x^{-1}+6\text x^{-2}} \)

Hence, \(\lim\limits_{\text x \to\infty}\cfrac{3\text x^{-1}+4\text x^{-2}}{5\text x^{-1}+6\text x^{-2}} \) = \(\cfrac35\)