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