43. a) Find lim_ g(x), lim_g(x), and lim g(x). x-1 x-1 x-1 b) Find g(1). c) Is g continuous at x = 1? Why or why not? d) Find lim_g(x). x-2 e) Find g(-2). f) Is g continuous at x = - 2? Why or why not? In Exercises 47 and 48, use the graphs to find the limits and answer the related questions. 47. -2 T 5 3 2 a) Find lim x 3 y = G(x) 2 3 G(x). b) Find lim G(x). x3 13 c) Find lim G(x). x-3 d) Find G(3). I 4 5 X e) Is G continuous at x = 3? Why or why not? f) Is G continuous at x = 0? Why or why not? g) Is G continuous at x = 2.9? Why or why not? 51. Is the function given by G(x) Why or why not? = 1 X continuous at x = 0?