Please help me answer these questions showing step by step how to get the answer. Also, please show it on paper bc is really hard to understand when is just written here.

4 - x2, forx -2, 10. Consider f(x) = 3, for x = - 2. y = f(x) - N W -3 -1 1 3 X a) Find lim f(x). x - - 2 b) Find lim _f(x). x-- 2 c) Find lim f(x). X - d) Find f(-2). e) Is f continuous at x = - 2? f) Is f continuous at x = 1?82 Chapter 2 .Differentiation 12. Refer to the graph of g below to determine 14. Refer to the graph of f below to determine whether whether each statement is true or false. each statement is true or false. YA y = f(x) 1 1 IN w 0.5- y = g( x) 2 -1 1 2 3 4 5 6x -2 -1 1 2 3 4 -0.5 a) lim f(x) = 3 x- 2 b) lim f(x) = 0 x -21 c) lim f(x) = lim, f(x) x->2 x - 2 a) lim, g(x) = 8(2) d) lim f(x) exists. x -> 2 b) lim_ g(x) = 8(2) e) lim f(x) exists. x - 4 x-$2 f) lim f(x) = f(4) c) lim, g(x) = lim_ g(x) * -+ 4 x -2 g) f is continuous at x = 4. d) lim g(x) exists. h) f is continuous at x = 0. e) g is continuous at x = 2. i) lim f(x) = lim f(x) j) f is continuous at x = 2.15. Refer to the graph of f below to determine whether each statement is true or false. YA 4 3 20 y = f(x) 1 -4 -2 2 4 X a) lim, f(x) = f(0) b) lim_ f(x) = f(0) X-0 c) lim, f(x) = lim_ f(x) x-0' x-$2 d) lim, f(x) = lim. f(x) x- 2 e) lim f(x) exists. x-$ 0 () lim f(x) exists. g) f is continuous at x = 0. h) f is continuous at x = 2.16. Refer to the graph of g below to determine whether each statement is true or false. y = g(x) 0.8 0.6 -3 -2 -1 2 3 X a) lim, g(x) = g(0) X-0 b) lim_ g(x) = 8(0) c) lim, g(x) = lim_g(x) d) lim g(x) exists. e) g is continuous at x = 0