solve with explanation

6. The function f is given by f (x) = k + a - b, where a 1, and k is a real number. Which of the following is true? (A) lim f(x) = -k (B) lim f(x) = k (C) lim f(x) = -k 2 -+0c D lim f(x) = k 7. The first term in a geometric sequence is g1 = 5 For n 2, the terms of the geometric sequence are given by In = 3 - 9(n-1). For which of the following functions is gn - f(n) for positive integer values of n ? SAY f ( ) = 3.5" (B) f(z) = 3. 5(0-1) f(x) = 5. 30 (D) f (z) = 5. 3(n-1)