[" The numbers of possible continuous "f(x)" as "],[[0,1]" for which "I_(1)=int_(0)^(1)f(x)dx=1,1_(2)=int_(0)^(1)xf(x)],[(1)/(3)=int x^(2)f(x)dx=a^(2)" is/are "]

The numbers of possible continuous f(x) defined in [0,1] for which I_(1)=int_(1)^(1)f(x)dx=1,I_(2)=int_(0)^(1)xf(x)dx-a,I_(3)=int_(0)^(1)x^(2)f(x)dx=a^(2)is/are1(b)prop(c)2(d)0

The numbers of possible continuous f(x) defined in [0,1] for which I_1=int_0^1f(x)dx=1,I_2=int_0^1xf(x)dx-a ,I_3=int_0^1x^2f(x)dx=a^2 is//are 1 (b) oo (c) 2 (d) 0

The numbers of possible continuous f(x) defined in [0,1] for which I_1=int_0^1f(x)dx=1,I_2=int_0^1xf(x)dx-a ,I_3=int_0^1x^2f(x)dx=a^2i s//a r e 1 (b) oo (c) 2 (d) 0

The numbers of possible continuous f(x) defined in [0,1] for which I_1=int_0^1f(x)dx=1,I_2=int_0^1xf(x)dx-a ,I_3=int_0^1x^2f(x)dx=a^2i s//a r e 1 (b) oo (c) 2 (d) 0

The numbers of possible continuous f(x) defined in [0,1] for which I_1=int_0^1f(x)dx=1,I_2=int_0^1xf(x)dx-a ,I_3=int_0^1x^2f(x)dx=a^2i s//a r e 1 (b) oo (c) 2 (d) 0

f(x)=x+|x| is continuous for

f(x)=x+|x| is continuous for

Discuss the continuity of f(x) =[x]

If f(x) is continuous function , then