If is continuous at x=0, then f(o)=
1/15
15/2
2/15
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 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+ λ, x <3
= 4, x=3
= 3x-5, x>3
is continuous at x=3, then λ=
4
3
2
1
The number of points at which the function f(x) = 1/log |x| is discontinuous at
If f(x) is continuous in [0,1] and f(1/3)=1 then
0
1/3
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
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 the function
is continuous at every point of its domain, then the value of b is
-1
The function f(x) = 3x-5 for x<3
= x+1 for x>3
= c for x=3
is continuous at x=3 if c is equal to
