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.
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
1
2
3
4
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 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
0
6
If f(x) is continuous and f(9/2) = 2/9, then is equal to
9/2
2/9
None of these
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 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
1/2
1/4
-1/2
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
If , (x≠0) is continuous function at x=0 , then f(0) equals to
-1/4
1/8
-1/8
