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The document discusses the power-series expansion of eiθ and demonstrates that it satisfies the differential equation dz(θ)/dθ = iz(θ) with the initial condition z(0) = 1. It employs the Frobenius method to solve the differential equation, leading to a recurrence relation for the coefficients of the series. Ultimately, it concludes that eiθ can be expressed as cos θ + i sin θ using known series identities.

Author

dkdk

Language

EN