area problem.....

First in this question you need to find f(x) in a general form!

What that means is that take Σa_kx^k for general k and see when this will converge. Now there will be a general form of equations which will satisfy this.

So you need to take the polynomial which will give the least area!

So the first step will be to find the general polynomial.

Then we will work on the next step of finding the area!

The general form is not very tough...

first step: find k for which a_kx^k which give the limit as finite!

yes

now what will be the limit if f(x) = constant?

or f(x) = k.x

or f(x) = k.x²

also when f(x) = x⁵

or when f(x) = x⁶

gr8..

so we know that all polynomials of the form

f(x) = x⁴ + x⁵{g(x)} where g(x) is a polynomial will satisfy....

because we want polynomial of least degree :)