3) Consider the function 5x-8, x 4 In each case, evaluate the given quantity or show it does not exist. If it is a limit that is not a number, write -00, 09, or DNE, and justify your answer.. (a) lim f(a) ( b ) f ( 2 ) (c) lim f(a) I +2 (d) lim f(x) (e) lim f(x) x-4+ x-+4 ( f ) f ( 4 ) (4) Find the value of the constant c for which the following function is continuous everywhere: 5t t 3 8 (5) . In each case, evaluate the limit. If the limit is not a number, write -00, oo, or DNE, and justify your answer. 41/3+ 1 3x2 + x - 1 (a) lim (b) lim arctant (c) lim arctan t U-+-oo 241/5 4 1 (d) lim -+0o V 1622 + 11 1-roo et + 3 1--00 et + 3 ation