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
If f(x) is continuous in [0,1] and f(1/3)=1 then
1
0
1/3
None of these
If is continuous at x=0, then f(o)=
1/15
15/2
2/15
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 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
If f(x) = x+ λ, x <3
= 4, x=3
= 3x-5, x>3
is continuous at x=3, then λ=
4
3
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 is not defined for x=2. Inorder to make f(x) continuous at x=2, f(2) should be defined as
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
Let . If f(x) is continuous at x=0 then K is equal to
π/5
5/π