Problem 1:

If are the two roots of the quadratic equation , then the find the value of the following limit:

Problem 2: Given the following functio; find the value of f(0) so that the function is continuous at zero:

when .

Problem 3:

Find the value of the following limit:

Problem 4:

If , which numerical value divides ?

Problem 5:

Find the value of the following limit:

Problem 6:

Find the value of the following limit:

Problem 7:

Let it be given that and then find the value of the following limit:

Problem 8:

Find the value of the following limit:

Problem 9:

Find the value of the following limit:

Problem 10:

Find the value of b such that the following function is continuous at every point of its domain:

, when , and , when .

Problem 11:

Find the value of the following limit:

Problem 12:

Find the value of the following limit:

Problem 13:

Consider the following: . Then, which of the following is true (a) limit exists and is equal to (b) exists and it equals (c) limit does not exist because (d) limit does not exist because left hand limit is not equal to right hand limit

Problem 14:

Find the value of the following limit:

Problem 15:

Find the value of p given the following:

Problem 16:

The number of points of discontinuity of the function is (a) zero (b) 1 (c) 2 (d) 3

Problem 17:

Find the value of the following limit:

Problem 18:

Find the value of the following limit:

Regards,

Nalin Pithwa