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Q: Find a power series function representation for the f(z) = ln(5 — z).
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Determine the first five terms of the Taylor series that is generated by: f(x) = (1 + 4x2)-1/5 at x = 0
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- Express the sum of the power series in terms of geometric series. x + x2 − x3 − x4 + x5 + x6 − x7 − x8 + (Hint: group powers x4n, x4n − 1, etc.)Prove all series using power series.differentiate the maclaurin series 1/(1-6x) twice to find the maclaurin series of 1/((1-6x)^3). index the series so that the 0th term is nonzero