If is continuous at x=0, then f(o)=
1/15
15/2
2/15
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
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
The number of points at which the function f(x) = 1/log |x| is discontinuous at
1
2
3
4
If , (x≠0) is continuous function at x=0 , then f(0) equals to
1/4
-1/4
1/8
-1/8
If the function for x≠2
=2 , for x=2
is continuous at x=2 , then
A=0
A=1
A=-1
None
If the function f(x) = when x=0, is continuous at x=0, then k=
6
9
12
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
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) = 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
