how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

y''+ex y'-y=0

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer...

(a) Use differentiation to find a power series representation for... f(x)=1/(6+x)^2 f(x)=sum from n=0 to infinity of... What is the radius of convergence,...

integral of x^8ln(1+x)dx f(x) = C + sum from n=1 to infinity of... What is the radius of convergence R? Please show how you arrive at the...

Find a power series representation for the following: 3x / (2 - x) , centered at 1

What is the interval of convergence and the radius?

Find a power series representation for the following: 3x / (2 - x) , centered at 1

determine the interval and radius of convergence for the power series Σ n=1 to ∞ of (x^(4n))/(4n)!

Determine the interval and radius of convergenxe for the power series the summation of x4n (4n)!

Determine the interval and radius of convergence for the power series of the summation from k=1 to infinity of (x^k)/(k4^k)

Find the Power Series of f(x) = x^5/(4-x^3) in terms of sigma.

Find Power Series and interval of convergence of g(x) = x-2 ln(1+x2)

Find Power Series and interval of convergence of f(x) = xe5x

Find the Power Series of f(x) = ∫ 0->x et-1dt/t NOTE: Assume the following: g(0) = Lim g(t) as t--->0