If `f(x)=1+2/x+3/x^2+4/x^2+.....` upto infinity, then which of the following is false?

If f(x)=-3x+2,x =1 then which of the following is not true

If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following is/are true

f(x)=2x^(3)-3x^(2)-x+(3)/(2) then which of the following is/are incorrect? int_((1)/(3))^((1)/(8))f(f(x))dx=(3)/(4)

For the function f(x) = 2 x ^(3) - 3x ^(2) - 12 x + 4 which of the following statement is correct

For the function f(x)=x^(3)-6x^(2)-36x+7 which of the following statements is false?

If f(x) = sin^(-1){(frac {4^((x +(1/2)))}{1+ 2^(4x)))} , which of the following is not the derivative of f(x)

Suppose f is a function such that f'(x)=4x^3 and f''(x)=12 x^2 . Which of the following is true ?

The sum of the series 1+2x+3x^(2)+4x^(3)+... upto infinity when x lies between 0 and 1 i.e.,0

Evaluate : 1^(2) + 2 ^(2) x + 3 ^(2) x ^(2) + 4 ^(2) x ^(3) …….. upto infinite terms for |x| lt 1.