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
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 f(x) =x . Sin 1/x, x ≠0
=k, x=0
is continuous at x=0, then the value of k is
1
-1
0
2
If the function f(x) = when x=0, is continuous at x=0, then k=
3
6
9
12
If f(x) = x+ λ, x <3
= 4, x=3
= 3x-5, x>3
is continuous at x=3, then λ=
4
If is continuous at x=0, then the value of K is
1/2
1/4
-1/2
Let . If f(x) is continuous at x=0 then K is equal to
π/5
5/π
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
If , (x≠0) is continuous function at x=0 , then f(0) equals to
-1/4
1/8
-1/8
If f(x) is continuous in [0,1] and f(1/3)=1 then
1/3
None of these
