Find a Taylor series centered at the given point x₀ for each of the following functions. What is the radius of convergence of your Taylor series?

1) f(x)= xln(1+x/2), x₀=0

2) f(x)= 1/ 1-2x, x₀=-2

3) f(x)= (x²-x)e^x, x₀=0