Problem 1:
A function is defined as follows:
when
is continuous at
.
The value of a should be
(i) (b)
(c) 2 (d) none
Problem 2:
If when
is continuous at
, then what is the value of
Problem 3:
Given , when
and when
and when
if f is continuous at and
and
, then the value of
(i) 0 (ii) 1 (iii) 2 (iv) 3
Problem 4:
If the function is continuous on its domain where
for
for
for
then the quadratic equation whose roots are 2a and 2b is:
(i) (b)
(c)
(d)
Problem 5:
The value of c for which the function
when
when
is continuous at is
(i) 1/2 (ii) -1/2 (iii) 2 (iv) -2
Problem 6:
If when
, when
when
is continuous at , then a and b have the values:
(i) (ii)
(iii)
(iv)
Problem 7:
If , when
is continuous at
then
(a) 1/2 (b) -1/2 (c) 2 (d) none of these
Problem 8:
If and
, then
(i) 4/3 (b) 5/3 (c) 2 (d) 7/3
Problem 9:
Evaluate the following:
Regards,
Nalin Pithwa