If lim⁡x→−∞(3x4+2x2)⋅sin⁡(1x)+∣x∣3+5∣x∣3+∣x∣2+∣x∣+1=k\lim_{x \to -\infty} \frac{(3x^4 + 2x^2) \cdot \sin \left( \frac{1}{x} \right) + |x|^3 + 5}{|x|^3 + |x|^2 + |x| + 1} = k…

Problem

If lim⁡x→−∞(3x4+2x2)⋅sin⁡(1x)+∣x∣3+5∣x∣3+∣x∣2+∣x∣+1=k\lim_{x \to -\infty} \frac{(3x^4 + 2x^2) \cdot \sin \left( \frac{1}{x} \right) + |x|^3 + 5}{|x|^3 + |x|^2 + |x| + 1} = k , then [k2]\left[ \frac{k}{2} \right] is .....

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