Problem 1:
Find the following limit:
Problem 2:
Let the given function be continuous in the interval . Then what must be the value of p?
, when
, when
.
Problem 3:
Let the given function be continuous for , then find the most suitable values for a and b:
, for
, for
, for
Problem 4:
Find the value of the following:
Problem 5:
The function is not defined at
. The value of
so that f(x) becomes continuous at
is (a) 1 (b) 2 (c) 0 (d) none
Problem 6:
Find the value of the following limit:
Problem 7:
Let the given function be . Find the value which should be assigned to f at
so that f is continuous everywhere on the reals.
Problem 8:
Let it be given that and
, x is not zero. What value of f(0) will make the function f continuous on the reals.
Problem 9:
Find the value of the following limit:
Problem 10:
If and
, then the find the limiting value of
as
:
Problem 11:
Let it be given that . Then, the find the value of the following limit:
Problem 12:
Let it be given that when x is not zero and
, when x is zero. Then, find the value of the following limit:
.
Problem 13:
Find the value of the following limit:
Problem 14:
Let it be given that when
and
, when
is continuous at
. Then, find the value of A.
Regards,
Nalin Pithwa