Let f be continuous on [1,5] and differentiable in (1,5) . If f(1)= -3 and f1(x) ≥ 9 for all x ε (1,5), then
f(5) ≥ 36
f(5) ≥ 33
f(5) ≤ 36
f(5) ≥9
The function is.
Continuous at x=1
Discontinuous at 0
Discontinuous at x= 0
Discontinuous every where
If f(x) is continuous and f(9/2) = 2/9, then is equal to
9/2
2/9
0
None of these
The number of points at which the function f(x) = 1/log |x| is discontinuous at
1
2
3
4
If is continuous at x = 0, then f(o) =
1/15
15/2
2/15
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
is continuous at every point of its domain, then the value of b is
-1
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
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 is not defined for x = 2. Inorder to make f(x) continuous at x = 2, f(2) should be defined as