I don't need an explanation just the numbers would be fine

A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. For example, the function f(x) = 2141 (1 7)2 has a vertical asymptote at c = 7. For each of the following limits, enter either 'P' for positive infinity, 'N' for negative infinity, or 'D' when the limit simply does not exist. -2x + 1 lim 1 +7 (x - 7)2 2x + 1 lim 1 17+ (2 - 7)2 2x + 1 lim = I +7 (x - 7)2Let 5 f{2:) = m- Find each paint ofdiscontinuity of f, and for each give the value of the point of discontinuity and evaluate the indicated onesided limits. NOTE: Use 'INF' for 00 and 'INF' for 700. If you have more than one point, give them in numerical order' from smallest to largest. If you have extra boxes, ll each in with an 'x'. Point 1: C = lim z) : 3HT," 31$;in = Poin1210' = 1:3 its) = 1m! Hz): :46\" Point 3: C : The number, N, of people who have heard a mmor spread by mass media at time, t, is given by N(t) = a(1 6"\"). There are 150000 people in the population who hear the rumor eventually. 14 percent of them heard it on the rst day. Find a and k , assuming t is measured in days. a, = is: Find the limit. If needed, enter Inf for oo , - Inf for -co or one if the limit does not esist. lim (1.014)Evaluate the following limits. If needed, enter 'INF' for oo and '-INF' for -00. (a) lim (22x2 + 27x3) = T +00 (b) lim (22x2 + 27x3) = I *-00Evaluate the following limits. If needed, enter inf for oo and -inf -OO. (a) lim x2(1 + 7x)(-10 - 9x) = I +00 (b) lim '(1 + 7x) (-10 -9x) =Evaluate the following limits. If needed, enter inf for oo , - Inffor -oo or one if the limit does not esist. 8 (A) lim 3 8 (B) lim I-1 00 e 3Evaluate lim -4 cost T +00 Answer: Note: Input inf for oo, -inf for -oo or ane if needed.\fA tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes can be shown to be given by: 30t C(t) = 200 + t What happens to the concentration as t -> co? lim C(t) = g/LEnter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. You must get all of the answers correct to receive credit. 1. If lim [f(x)g(x)] exists, then the limit is f (6)g(6) 2. If lim f(x) = co and lim g(x) = co, then lim [f(x) - g(x)] = 0 x2 + 5x - 14 lim x' + 5x - 14 3. lim 1 12 x- + 7x -18 limz ,2 12 + 7x - 18 4. If p() is a polynomial, then then the limit lim p(x) is p(6) 5. If f' (6) exists, then then the limit lim f(x) is f(6)The figure shows a circular arc of length s and a chord of lengthd, both subtended by a central angle 0. Find lim 8 0+ S D lim = 8 +0+Let f(x) = +9 9 - 12 Find the points of discontinuity of f. For each of them give the number C at which the discontinuity occurs and the values of both one-sided limits. Enter INF for oo, -INF for -oo, DNE for does not exist, CND for cannot determine. If you find more than one point of discontinuity, enter them in order from smallest to largest. If there are answer boxes left unfilled, fill each of them with an 'x". Point 1: C = lim f(x) = lim f(x) = Point 2: C = lim f(x) = lim f(x) = Point 3: C = lim f(x) = lim f(x) =