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
1
2
3
4
If is continuous at x = 0, then the value of K is
1/2
0
1/4
-1/4
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
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 , (x≠0) is continuous function at x=0 , then f(0) equals to
1/8
-1/8
The number of points at which the function f(x) = 1/log |x| is discontinuous at
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
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
The function is not defined for x = 2. Inorder to make f(x) continuous at x = 2, f(2) should be defined as
If is continuous at x = 0, then f(o) =
1/15
15/2
2/15