... 收敛判别法：Convergence Criterion 收敛幂级数：convergent power series 收敛连分数：convergent continued fraction ...
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求幂级数收敛域最关键的是求它的收敛半径。
To find the solution of power series convergence domain, it is important to get its radius of convergence.
用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。
A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.
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