Problem 1:

Find the value of the following limit:

Problem 2:

Find the values of the constant a and b such that the following limit is zero:

Problem 3:

Find the value of the following limit:

Problem 4:

If a, b, c, d are positive, then find the value of the following limit:

Problem 5:

Find the value of the following limit:

Problem 6:

Find the value of the following limit:

Problem 7:

Find the value of the following limit:

Problem 8:

Find the value of the following limit:

Problem 9:

Find the value of f(0) such that the following function is continuous at zero:

Problem 10:

Let be continuous at zero and . Then, find the numerical value of the following limit:

Problem 11:

Find the value of the following limit:

Problem 12:

Find the values of x where the following function is discontinuous:

Problem 13:

The value of p for which the following function may be continuous at zero is what:

, when , and

, when .

Problem 14:

Find the value of the following limit:

Problem 15:

If and , and , then the equation whose roots are is (a) (b) (c) (d)

Problem 16:

Find the value of the following limit:

Problem 17:

Find the value of the following limit:

Problem 18:

Find the value of the following limit:

Regards,

Nalin Pithwa