Determine the interval(s) on which the following function is continuous, then analyze the given limits. 3+ 3 sin x h(x) = lim h(x); lim h(x) cos X x-x/2+ X-+5x /3 On what interval is the function continuous? O A. (nat,(n + 1)x), where n is an integer O B. (2 2+ 1 x. where n is an odd integer OC. 2 7+1 x, Where n is an integer O D. (na,(n + 1)x), where n is an odd integer 3 +3 sin x lim COS X (Type an exact answer, using radicals as needed.) X-x/2* Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3+3 sin x lim OA. x-+5x/3 COS X (Type an exact answer, using radicals as needed.) 3+3 sin x O B. lim does not exist. x-5x/3 COS X