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

Question

Mathematics

Zayne Maddox

10 March, 08:32

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

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Bright · 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.