In: Advanced Math
p(x) = a0 + a1x + a2x2 + · · · + akxk is a polynomial of degree k. What is the Taylor series of p(x), and its radius and interval of convergence.
You can directly write p(x) as power
series without the whole calculation. It is always same as power
series representation for any polynomial. But best option is doing
all calculations and apply Taylor series formula.