Give an appropriate answer. lim Suppose x_ f(x) = 1 and lim x_0 g(x) = - 3. Name the limit rules that are used to accomplish steps (a), (b), and (c) of the following calculation. lim (2f(x) - 2g(x) ) lim 2f(x) - 2g(x) x-0 (a) x-0 (f(x) + 15)1/2 lim (f(x) + 15)1/2 x-0 lim 2f(x) - lim 2g(x) 2 lim f(x) - 2 lim g(x) x-0 x-0 x-0 x-0 (b ) (C) ( lim (f(x) + 15))1/2 ( lim f(x) + lim 15)1/2 x-0 x-0 x-0 2 +6 = (1 + 15)1/2 = 2 O (a) Quotient Rule (b) Difference Rule (c) Constant Multiple Rule O (a) Quotient Rule (b) Difference Rule, Sum Rule (c) Constant Multiple Rule and Power Rule O (a) Quotient Rule (b) Difference Rule, Power Rule (c) Constant Multiple Rule and Sum Rule O (a) Difference Rule (b) Power Rule (c) Sum Rule