Problem(3) (12 points) Given y = F(r) - (x], the floor function (or the greatest integer function), find the limits and answer the following questions: (a) lim F(z) (b) lim F(I) (c) lim F(1) (d) lim F(x) (e) lim F(1) (f) lim F(x) (g) lim F(r) (b) lim F(z) (i) lim F(x) (j) lim F(z) (k) lim F(z) (1) At what points is the function F NOT continuous? Problem (4) (6 points) Given Ji(x) ' - 2r+ 1 100r' + 313 - 13+ 5 8+r-6 -3x2- 6 h() = = -1- 2 Find the following limits. (a) lim ji(x) (b) lim fa(r) (c) lim /,(z) (d) lim fi(z) (e) lim fa(z) (f) lim f3(z) Problem(5) (5 points) Given function f(x) = 23 -5x - 6, compute the following: (a) f (zth) - ? (b) 1 ( s + h) - 1(z) =