Question

Find the first few coefficients in the power series 4/1+4x^2

Answer 1

Find the first few coefficients in the power series 4/1+4x^2.

Then we have:

4/ (1 – (-4x^2) = 4 Σ^ (n ≥ 0) (-4x ^2) ^n

= 4 (1 – 4x^2 + 4x^2 x^4 - … + (-4x ^2) ^n) These are the first few coefficient of the series.