All questions need help

Given the function: f(x) =. sin 2x, XSx 7. Find the limit: lim x(ex + 1). 2x + K, X>x what value of k will make this piecewise function continuous? (A) 0 (A) -27 (B) 1 (C) 2 (C) 0 "D) The limit does not exist. (D) A (E) None of these (E) 2x 8. Identify the vertical asymptotes for f(x) = * +3x-4 x' +x-2 (A) x= -2, x= 1 B) x= -2 (C) x = 1 9. If p(x) is a continuous function on the closed interval [1, 3], with D) y = -2,y=1 p(1) s K s p(3) and c is in the closed interval [1, 3], then which of (B) y = -2 the following statements must be true? (A) p(c) = D(3) + p(1) 2 (B) p(c) = P(3)- p(1) 2 (C) There is at least one value c, such that p(c) = K. (D) There is only one value c, such that p(c) = K. (E) c = 2 10. How many vertical asymptotes exist for the function f(X] =5 1 2 sin x-sinx -1 in the open interval 0