1.\:\:\lim _{x\to \infty}(\frac{4x^2+x^6}{1-5x^3})
2.\:\:\lim _{x\to \infty}(\frac{5x^{3}+1}{x^{2}-4})
3.\:\:\lim _{x\to \infty}(\frac{1-x^2}{x^3-x+1})
4.\:\:\lim _{x\to \infty}(\frac{x+x^3+x^5}{1-x^2+x^4})
5.\:\:\lim _{x\to -\infty}(\frac{12-6x^2}{3x+x^2})
6.\:\:\lim _{x\to \infty}(\frac{x}{x+1})
7.\:\:\lim _{x\to \infty}(\frac{x}{x^{2}+1})
8.\:\:\lim _{x\to -\infty}(\frac{7x^2-9}{4x+3})
9.\:\:\lim _{x\to \infty}(\frac{3x^{2}+20x}{2x^{4}+3x^{3}-29})
10.\:\:\lim _{x\to \infty}(\frac{x+x^3+x^5}{1-x^2+x^4})
