The homework is worth 10 points. Show all of your work and put a box around your final answer. 1. Suppose f, g, h, i, j, k are functions satisfying . lim f(x) = lim g(x) = 00, . h(x) > 0 for all x * 2 and lim h(x) = 0, . lim i(x) = 3, x-2 . j(x) is a polynomial and j(2) = 5, . k(2) = (2 - 2)3(x) x - 2(b) lim x tan 3x - 2x2 sec x x-0 sin 2x sin 5x + 2x2 5. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x - 6) sin(4x - 12) x-+3 x2 - 6x + 9 4(b) If lim f(x) x-5x-5 = 3, evaluate lim f(x). 6. For what value of the constants A and B is the function f continuous on (-0o, co)? Ax + B for x 27. For what value of the constants A and B is the function f continuous on (700, 00)? A\\/z+61 for I