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What is Closed Form Solution for Series about?
The document presents the steps to find a closed-form solution for the infinite series f(x)=sin(x)+1/3sin(2x)+1/5sin(3x)+.... Using identities, the series is rewritten in terms of exponential functions. Through a series of substitutions and derivatives, an expression for the function g(p) is obtained. Taking the imaginary part of this expression gives the closed-form solution for the original series f(x) in terms of sin(x/2) and cos(x/2).
- Author
- rng414
- Language
- EN