Answer with solution and explain

Il. Given that lim f(x) = 3, lim g(x) = -5, x-+ +00 x-+ +00 and lim h(x) = 0, find the limits that exists. If the limit does not exist, explain why. *+ +00 1. lim f(x) + 3g(x) x-+ +00 2. lim f(x) . h(x) x-+00 3. lim [g (x)12 x-+00 4. lim x-too g (x) 6h(x) 5. lim x -+ +00 5f (x) +3g(x)