The function is not defined for x=2. Inorder to make f(x) continuous at x=2, f(2) should be defined as
3
2
1
0
The function is
continuous at x=1
discontinuous at 0
discontinuous at x= 0
discontinuous every where
If
is continuous at x=a
is not continuous at x=a
has a limit when x→a and it is equal to lm
has a limit when x→a and it is not equal to lm
If the function for x≠2
=2 , for x=2
is continuous at x=2 , then
A=0
A=1
A=-1
None of these
If f(x) =x . Sin 1/x, x ≠0
=k, x=0
is continuous at x=0, then the value of k is
-1
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
none of these
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
If f(x) = x+ λ, x<3
= 4, x=3
= 3x-5, x>3
is continuous at x=3, then λ=
4
Let the function f be defined byf(x)= x sin1/x; x≠0
=0; x=0. that at x=0, f is
Continuous
not continuous
not defined
a+b/z
If is continuous at x=0, then f(o)=
1/15
15/2
2/15