Please answer 1, 3 thank you

AP CollegeBoard AP CALCULUS AB Test Booklet 1.11 Defining Continuity at a Point 1. E f(2) = 1+4x2+2-6 3 sin (-zx) +322 ? Let f be the function defined above. Which of the following conditions explains why f is not continuous at z = 1 (A) Neither lim f(x) nor f(1) exists. B lim f(x) exists, but f(1) does not exist. C) Both lim f (x) and f(1) exist, but lim f(x) # f(1). (D) Both lim f(x) and f(1) exist, and lim f( ac) = f(1). 2. A student attempted to confirm that the function f defined by f ( ) = 72-72+10 IS x2 +x-6 is continuous at x = 2. In which step, if any, does an error first appear? Step 1: f(x) = x2 +x-6 (x-2)(2+3) x2 -7x+10 Step 2: lim f(x) = lim 2+3 (x 2)(2-5) x 2 2432-+2 2-5 2 - Step 3: f (2) = 2 -5 Step 4: lim f(x) = f(2), so f is continuous at a = 2. A) Step 2 (B) Step 3 (C) Step 4 (D) There is no error in the confirmation. 3. ac + 230 for a 3 Let f be the piecewise function defined above. Which of the following statements is false? (A) f is continuous at x = 1. (B) f is continuous at x = 2. (C) f is continuous at a = 3. (D) f is continuous at x = 4. P. 7