If `f(x)=sum_(n=0) a_n|x|^n`, where `a_i` are real constants, then `f(x)` is

If f(x)=sum_(n=0)a_(n)|x|^(n), where a_(i) are real constants,then f(x) is

If f(x) = sum_(r=1)^(n)a_(r)|x|^(r) , where a_(i) s are real constants, then f(x) is

Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f(x) is differentiable at x=0, if a=0 (b) b=0 (c) c=0 (d) none of these

If f(x)=sum_(k=0)^(n)a_(k)|x-1|^(k), where a_(i)in R, then

If f(x)=(a-x^(n))^(1/n) , where a gt 0 and n in N , then fof (x) is equal to

If f(x)=(a-n^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :

If f(x) =Pi_(i=1)^3(x-a_i) + sum_(i=1)_3 a_i - 3x where a_i < a_(i+1) for i = 1,2, then f(x) = 0 have

If f(x) =Pi_(i=1)^3(x-a_i) + sum_(i=1)_3 a_i - 3x where a_i < a_(i+1) for i = 1,2, then f(x) = 0 have

if f(x)=(a-x^n)^(1/n), where a > 0 and n is a positive integer, then f(f(x))= (i) x^3 (ii) x^2 (iii) x (iv) -x

If f(x)= prod_(i=1)^3 (x-a_i) +sum_(i=1)^3a_i-3x where a_i lt a_(i+1) forall i=1,2,. . . then f(x)=0 has