2. Is it possible that lim f(x) does not exist and lim g(x) does not exist, but lim [f(x) + g(x)] does x-a xa x-a exist? Consider the functions f(x) = and g(x) = 1. a. Sketch the graphs of f(x) and g(x) and find their limits (if they exist) as x approaches zero. b. Sketch the graph of [f(x) + g(x)] and find lim [f(x) + g(x)]. x-0 functions f and a and find the following limits.