? In Problems 36-39, use the formula for the sum of a geometric series to find a power series centered at the origin that converges to the expression. For what values does the series converge? 36. $\frac{1}{1+2z}$
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In this case, the first term is 1 and the common ratio is 2z. So we can write the series as: 1 + 2z + (2z)^2 + (2z)^3 + ... Show more…
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