Let `f(x)` be a biquadratic function of x such that `Lt_(x->0) ((f(-x))^(1/x)/(2x^3))=1/e^3` then which of the following is INCORRECT ?

Let f(x) be a biquadratic function of x such that Lt_(x rarr0)(((f(-x))^((1)/(x)))/(2x^(3)))=(1)/(e^(3)) then which of the following is INCORRECT?

Let f(x)=(x-1)/(x^(2)), then which of the following is incorrect?

Let f(x) be a function such that f'((1)/(x))+x^(3)f'(x)=0. What is int_(-1)^(1)f(x)dx

Let f(x)=e^(x^(3)-x^(2)+x) be an invertible function such that f^(-1)=g ,then-

Let f(x) = 1 /(sqrt( 18 - x^2) The value of Lt_(x -> 3) (f(x)-f(3)) / (x-3) is

Let f: R to R be a positive increasing function with Lt_(x to oo)(f(3x))/(f(x))=1 then Lt_(x to oo)(f(2x))/(f(x))=

Let f:R to R be such that f(x)=3 and f'(1)=6 then Lt_(x to 0)((f(1+x))/(f(1)))^(1//x)=

Let f (x) be a continous function in [-1,1] such that f (x)= [{:((ln (ax ^(2)+ bx +c))/(x ^(2)),,, -1 le x lt 0),(1 ,,, x =0),((sin (e ^(x ^(2))-1))/(x ^(2)),,, 0 lt x le 1):} Then which of the following is/are corrent

Let f (x) be a continous function in [-1,1] such that f (x)= [{:((ln (ax ^(2)+ bx +c))/(x ^(2)),,, -1 le x lt 0),(1 ,,, x =0),((sin (e ^(x ^(2))-1))/(x ^(2)),,, 0 lt x le 1):} Then which of the following is/are corrent