What is the interval of convergence and the radius?

What is the interval of convergence and the radius?

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

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