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
Let . If f(x) is continuous at x=0 then K is equal to
π/5
5/π
1
0
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
6
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
none of these
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
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
If the function f(x) = when x=0, is continuous at x=0, then k=
9
12
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
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 is
continuous at x=1
discontinuous at 0
discontinuous at x= 0
discontinuous every where
