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
If f(x) is continuous in [0,1] and f(1/3)=1 then is
1
0
1/3
The function f(x) = 3x -5 for x
= 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) is continuous and f(9/2) = 2/9, then is equal to
9/2
2/9
Let f(x) = |x| cos 1/x + 15x2, x ≠ 0. = k, x = 0, then f(x) iscontinuous at x = 0 if k is equal to
15
-15
6
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
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 , (x≠0) is continuous function at x=0 , then f(0) equals to
1/4
-1/4
1/8
-1/8