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:

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:

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

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)

If f(X) is a polynomial satisfying f(x)f(1/x)=f(x)+f(1/x) and f(2)gt1 , then lim_(x rarr 1)f(x) is

If f(x) is a polynomial in x(>0) satisfying the equation f(x)+f(1/x)-f(x)f(1/x) and f(2)=-7 , then f(3)=

If f(x) is a polynomial function satisfying the condition f(x) .f((1)/(x)) = f(x) + f((1)/(x)) and f(2) = 9 then