Find the limit (if it exists) using a tabular method. Use oo, -oo, or DNE, if needed. 1. lim Va+1-1 240 vr+9 - 3 (8 pts) T yFind the limit (if it exists) analytically. Use co, -co, or DNE, if needed. 2. lim 3.r - 1 2Use the graph provided to decide whether the value of the given quantity exists. If it does, find it. Use oo, -oo, or DNE, if needed. 3. (16 pt 3. 2. 1- -8 -7 6 -3 0 2 5 6 7 8 -1+ -24 -3 -4 -5(a) f(-2) (e) f(1) (i) f(3) (m) f(4) (b) lim f(x) (f) lim f(x) (j) lim f(x) J-+-2- (n) lim f(x) 3-4- (c) lim f(x) (g) lim f(x) (k) lim f(x) I+-2+ (o) lim f(x) :+1+ I-+4+ (d) lim f(x) (h) lim f(x) (1) lim f(x) (p) lim f(a)Find the derivative of the function using the Product Rule. [)0 not simplify the result. 4. HI) = (311' 3a.- 5km\" + a: + 5} Find the derivative of the function using the Quotient Rule. Simplify;r the result. 1234 Find the derivative of the funetiun. He not simplify the result. a. mm} = 12%;?! + 331 4 Find the equation of the tangent line {in y = In: + [1 farm) to the graph of f at the given point. 7. f{$] = if I3 + 7:: ll; (2,1} (3] Find the third derivative of the function. Express the result with positive exponents only. 8. g(x) = 6473/4 1 127-3 - 912 + 7(c) Find the average velocity of the object between the times t = 1 sec and t = 4 sec. Be sure to include units. (d) Find the instantaneous velocity of the object at t = 3 sec. Be sure to include units.9. On Planet Z, the position function of a free-falling object is given by: s(t) = -412 - 16t + 128 where s is measured in meters and t is measured in seconds. (a) Determine the velocity function v(t). (b) Determine the acceleration function a(t)