Examples of limits, for which solutions are obvious. lim_{x → -∞} x = -∞. For similar functions with odd exponent: lim_{x → -∞} x^3 = -∞, lim_{x → -∞} x^5 = -∞, lim_{x → -∞} x^7 = -∞. lim_{x → -∞} x^2 = +∞. For similar functions with even exponent: lim_{x → -∞} x^4 = +∞, lim_{x → -∞} x^6 = +∞, lim_{x → -∞} 3x^8 = +∞. lim_{x → -∞} 1/x = 0. For similar functions: lim_{x → -∞} -1/x^2 = 0, lim_{x → -∞} -1/x^3 = 0, lim_{x → -∞} -2/x^4 = 0, lim_{x → -∞} 3/x^5 = 0.