If is continuous at x=0, then the value of K is
0
1/2
1/4
-1/2
If the function
is continuous at every point of its domain, then the value of b is
-1
1
None of these
f(x) = |[x] x| in -1 ≤ x ≤ 2 is
continuous at x=0
discontinuous at x =0
differentiable at x=0
If f(x) is continuous in [0,1] and f(1/3)=1 then
1/3
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
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
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) ≥ 33
f(5) ≥ 36
f(5) ≤ 36
f(5) ≥9
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 number of points at which the function f(x) = 1/log |x| is discontinuous at
2
3
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
