What is lim_(xrarroo) (3x^3+2x+500x-1)/(x^4-8000x^3-30x) ? Calculus Limits Determining One Sided Limits 1 Answer cspark1981 Nov 4, 2015 lim_{x \rarr oo} (3x^3+2x+500x−1)/(x^4−8000x^3−30x) = 0 Explanation: lim_{x \rarr oo} (3x^3+2x+500x−1)/(x^4−8000x^3−30x) = lim_{x \rarr oo} (3/x+2/x^3+500/x^3−1/x^4)/(1−8000/x−30/x^3) = 0 Answer link Related questions When is a one sided limit undefined? How do you find a one sided limit for an absolute value function? How do you find the limit lim_(x->3^+)|3-x|/(x^2-2x-3) ? How do you find the limit lim_(x->2^+)sqrt(2-x) ? How do you find the limit lim_(x->0^-)|x|/x ? How do you find the limit as x approaches 2 of the piecewise function #f(x)={(4-x^2,if... How do you find the limit of the piecewise function #f(x)={(x^2,if x text{ is rational}),(0,if... How do you find one sided limits without graph? How do you find one sided limits algebraically? How do you determine one sided limits numerically? See all questions in Determining One Sided Limits Impact of this question 2295 views around the world You can reuse this answer Creative Commons License