Problem 1:

Find the value of the following limit:

Problem 2:

Find the value of the following limit:

Problem 3:

Find the value of the following limit:

. Choose one of the following: (i) (ii) (iii) a(a\cos{a} + 2 \sin{a}) (iv)

Problem 4:

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 the following limit:

Problem 10:

Find the value of the following limit:

Problem 11:

Find the value of the following limit:

Problem 12:

Find the value of the following limit:

Problem 13:

Find the value of the following limit:

Problem 14:

Find the value of the following limit:

Problem 15:

If the value of the following limit is -1, then find the value of a:

Problem 16:

Find the value of the following limit:

Problem 17:

Find if f(x) is given as follows:

Problem 18:

If , then is equal to (i) (ii) (iii) (iv) ab

Problem 19:

Evaluate the following limit:

Problem 20:

The function f is defined by :

in the interval

In order for this function to be continuous in , we have to define (a) (b) (c) (d)

Problem 21:

The function when and , (a) has removable discontinuity at (b) has irremovable discontinuity at (c) is continuous at (d) exists.

Problem 22:

Let be defined by

if

, if

If and are continuous in , then the value of b is (i) (ii) (iii) (iv)

Problem 23:

If , where , then is (a) 7 (b) 8 (c) 9 (d) 10

Problem 24:

If and then is (a) (b) (c) (d)

Regards,

Nalin Pithwa