Problem 1: Which of the following is an indeterminate form ? (a) (b) (c) (d)

Problem 2: Which of the following is not an indeterminate form ? (a) (b) (c) (d)

Problem 3: If and exists then which of the following conditions is not always correct ? (i) (ii) (iii) (iv)

Problem 4: If exists, then (i) both and must exist (ii) need not exist but exists. (iii) neither nor may exist (d) exists but need not exist.

Problem 5: and then the function (i) is continuous at (ii) is not continuous at (iii) has a limit when but (iv) has a limit equal to when

Problem 6: If and then the function (i) is continuous at (ii) does not have a limit at (iii) has a limit when and it is equal to l.m (iv) has a limit when but it is not equal to l.m

Problem 7: Find

Problem 8: Find .

Problem 9: Find

Problem 10: Find .

Problem 11: Find

Problem 12: Find

Problem 13: Find

Problem 14: Find

Problem 15: Find

Problem 16: Find x if

Regards,

Nalin Pithwa