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Limits at infinity of rational functions: radicals

Find the limit as xx approaches negative infinity.
lim⁡x→−∞5x3−3x4x6−7=\displaystyle\lim_{x\to-\infty}\dfrac{5x^3-3x}{\sqrt{4x^6-7}}=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}