If f(x) is a polynomial of least degree, such that `lim_(x->0)(1+(f(x)+x^2)/x^2)^(1/x) = e^2`, then f(2) is

If f(x) is a polynomial of least degree,such that lim_(x rarr0)(1+(f(x)+x^(2))/(x^(2)))^((1)/(x))=e^(2), then f(2) is

The polynomial of least degree such that lim_(xto0)(1+(x^(2)+f(x))/(x^(2)))^(1//x)=e^(2) is

The polynomial of least degree such that lim_(xto0)(1+(x^(2)+f(x))/(x^(2)))^(1//x)=e^(2) is

The polynomial of least degree such that lim_(xto0)(1+(x^(2)+f(x))/(x^(2)))^(1//x)=e^(2) is

Let f(x) be a polynomial of least degree such that lim_(x rarr0)(1+(x^(4)+f(x^(2)))/(x^(3)))^(1/x)=e^(3), then write the value of f(3)

The smallest area enclosed by y=f(x) , when f(x) is s polynomial of lease degree satisfying lim_(x->0)[(1+(f(x))/x^3)]^(1/x)=e and the circle x^2+y^2=2 above the x-axis is:

If f(x) is a polynomial of degree 6, which satisfies lim_(x rarr0)(1+((f(x))/(x^(3))))^((1)/(x))=e^(2) and local minimum at x=1 and has local maximum at x=0 and x=2, then the value of ((5)/(9))^(4)f((18)/(5)) is :

The smallest area enclosed by y=f(x), when f(x) is s polynomial of lease degree satisfying lim_(x rarr0)[(1+(f(x))/(x^(3)))]^((1)/(x))=e and the circle x^(2)+y^(2)=2 above the x -axis is:

If f(x) is a monic polynomial of degree '3' such that lim_(x to 0) (1+f(x))^(1/(x^(2)))=e^(-3), g(x)=(f(x))/(x^(3))dx and g(1)=1 then On the basis of above information, answer the following question: Value of g(e) is