Question

Find the power series expansion [infinity]∑ₙ₌₀ aₙxⁿ for f(x) + g(x), given the expansions for f(x) and g(x). f(x) [infinity]∑ ₙ₌₀ 1/n+5 xⁿ, g(x) = [infinity]∑ₙ₌₂ 2⁻ⁿxⁿ⁻²
The power series expansion for f(x) + g(x) is _____