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
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 , (x≠0) is continuous function at x=0 , then f(0) equals to
1/4
-1/4
1/8
-1/8
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
The function f(x) = |x| + |x| / x is :
continuous at the origin
discontinuous at the origin because |x| is discontinuous there
discontinuous at the origin because |x|/ x is discontinuous there
discontinuous at the origin because |x| and |x| / x are discontinuous there
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 . Sin 1/x, x ≠0
=k, x=0
is continuous at x=0, then the value of k is
1
-1
2
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
