(pls fassssttt) Use the partial fractions method to express the function as a power series

Question

Use the partial fractions method to express the function as a power series (centered at x=0) and give the open interval of convergence. f(x)=14/(x^2 −2x−48) f(x)=∑n=0 to ∞

Answer 1

Hello Alex T.,

I will give you some hints. First factor the denominator and find the two partial fractions for f(x).

Then write each fraction as a sigma geometric series using the a/(1 - r) formula.

Then add the two formulas to get your answer.