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