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
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
The function f(x) = 3x-5 for x<3
= x+1 for x>3
= c for x=3
is continuous at x=3 if c is equal to
2
3
4
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
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.
f(x) = |[x] x| in -1 ≤ x ≤ 2 is
continuous at x=0
discontinuous at x =0
differentiable at x=0
If is continuous at x=0, then the value of K is
1/2
1/4
-1/2
The function is not defined for x=2. Inorder to make f(x) continuous at x=2, f(2) should be defined as
If , (x≠0) is continuous function at x=0 , then f(0) equals to
-1/4
1/8
-1/8
