Please show all work clearly

(4) Find the value of g(0) such that the function g(t) = 3 sin (2t) is continuous at t = 0. t cos(4t) a) 0 b) 1 C) e) none of the above 2t - 12 (5) The limit of the rational function h(t) = 313 + 5 when t -> oo is a b ) - c) 0 d) e) none of the above