3. Find at least one point at which each function is not continuous and state which of the three conditions in the definition of continuity is violated at that point. (a) x + 5 x 3 (b) x 2 + x 6 x 2 (c) q cos(x) (d) j x 2 k (e) x sin(x) (f) x x (g) ln(x 2 ) (h) x 2 6x + 9 (i) tan(x) 7. This problem asks you to verify that the Intermediate Value Theorem is true for some particular functions, intervals and intermediate values. In each problem you are given a function f , an interval [a, b] and a value V. Verify that V is between f(a) and f(b) and find a value of c in the given interval so that f(c) = V. (a) f(x) = x 2 on [0, 3], V = 2 (b) f(x) = x 2 on [ 2], V = 3 1, (c) f(x) = sin(x) on 0, 2 , V = 1 2 (d) f(x) = x on [0, 1], V = 1 3 (e) f(x) = x 2 x on [2, 5], V = 4 (f) f(x) = ln(x) on [1, 10], V = 2