Let f(x) = |x| cos 1/x + 15x2, x≠0.
=k, x=0, then f(x) is
continuous at x=0 if k is equal to
15
-15
0
6
If f(x) =x . Sin 1/x, x ≠0
=k, x=0
is continuous at x=0, then the value of k is
1
-1
2
Which of the following is not true?
a polynomial function is always continuous
a continuous function is always differentiable
a differentiable function is always continuous
ex is continuous for all x.
If is continuous at x=0, then the value of K is
1/2
1/4
-1/2
If , (x≠0) is continuous function at x=0 , then f(0) equals to
-1/4
1/8
-1/8
If is continuous at x=0, then f(o)=
1/15
15/2
2/15
none of these
The function f(x) = |x| + |x| / x is :
continuous at the origin
discontinuous at the origin because |x| is discontinuous there
discontinuous at the origin because |x|/ x is discontinuous there
discontinuous at the origin because |x| and |x| / x are discontinuous there
The function is not defined for x=2. Inorder to make f(x) continuous at x=2, f(2) should be defined as
3
If f(x) = x+2 when x ≤1 and f(x)= 4x-1 when x>1, then
f(x) is continuous at x=1
f(x) is discontinous at x=0
The function f(x)= is not defined at x=0. The value which should be assigned to f at x=0. So that it is continuous at x=0 is
a-b
a+b
log a+ log b
