- #1
brianhawaiian
- 12
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Homework Statement
"Find the radius of convergence of the power series for the following functions, expanded about the indicated point.
1 / (z - 1), about z = i.
Homework Equations
1 / (1 - z) = 1 + z + z^2 + z^3 + z^4 + ... +
Ratio Test: limsup sqrt(an)^k)^1/k
The Attempt at a Solution
1 / (z - 1) = -1 / (1 - z) = -1(1 + z + z^2 + z^3 + z^4 + ... +)
Ratio test gives 1?
Answer but I'm not sure how sqrt(2)