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
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 function is not defined for x=2. Inorder to make f(x) continuous at x=2, f(2) should be defined as
3
2
1
0
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
If f(x) = x+ λ, x <3
= 4, x=3
= 3x-5, x>3
is continuous at x=3, then λ=
4
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 is continuous at x=0, then the value of K is
1/2
1/4
-1/2
If the function f(x) = when x=0, is continuous at x=0, then k=
6
9
12
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
