If f(x) =x . Sin 1/x, x ≠0
=k, x=0
is continuous at x=0, then the value of k is
1
-1
0
2
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
Let f(x) = |x| cos 1/x + 15x2, x≠0.
=k, x=0, then f(x) is
continuous at x=0 if k is equal to
15
-15
6
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
If f(x) is continuous in [0,1] and f(1/3)=1 then
1/3
None of these
Let . If f(x) is continuous at x=0 then K is equal to
π/5
5/π
The number of points at which the function f(x) = 1/log |x| is discontinuous at
3
4
If f(x) is continuous and f(9/2) = 2/9, then is equal to
9/2
2/9
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
