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 for x≠2
=2 , for x=2
is continuous at x=2 , then
A=0
A=1
A=-1
None of these
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
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 is continuous at x=0, then the value of K is
0
1/2
1/4
-1/2
If f(x) is continuous in [0,1] and f(1/3)=1 then
1/3
f(x) = |[x] x| in -1 ≤ x ≤ 2 is
continuous at x=0
discontinuous at x =0
differentiable at x=0
If f(x) =x . Sin 1/x, x ≠0
=k, x=0
is continuous at x=0, then the value of k is
-1
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
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
