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
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.
If the function for x≠2
=2 , for x=2
is continuous at x=2 , then
A=0
A=1
A=-1
None
If f(x) = x+2 when x ≤1 and f(x)= 4x-1 when x>1, then
f(x) is continuous at x=1
f(x) is discontinous at x=0
If the function
is continuous at every point of its domain, then the value of b is
-1
0
1
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 . If f(x) is continuous at x=0 then K is equal to
π/5
5/π
If is continuous at x=0, then f(o)=
1/15
15/2
2/15
If f(x) = x+ λ, x <3
= 4, x=3
= 3x-5, x>3
is continuous at x=3, then λ=
4
3
2
If f(x) is continuous and f(9/2) = 2/9, then is equal to
9/2
2/9
