Limit and Continuity - Ten Objective Questions

1. (a) (b) 0 (c) 1 (d) none of these 2. Let Then = (a) 0 (b) 1 (c) 1/2 (d) none of these 3. Let Then , so that f is continuous at x = 0, is (a) -1 (b) 0 (c) 1 (d) none of these 4. (a) 0 (b) 1 (c) 1/2 (d) none of these 5. Let . If f is continuous at x = 2, then (a) -2 (b) -1 (c) 0 (d) 2 6. If then (a) 1/24 (b) 1/5 (c) -(d) 7. Let . Find a and b if f is continuous. (a) a = 1, b = 0 (b) a = 0, b= 1 (c) a = 0, b= 2 (d) b = 0, a any real number 8. (a) 1/3 (b) 1/2 (c) 3/2 (d) none of these Limit & Continuity9. If (a) 9 (b) 3 (c) 1 (d) none of these 10. (a) 1 (b) 0 (c) -2 (d) -1 Limit & Continuity