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real analysis
Criterion for boundedness of power series ★
Author(s): Rüdinger
Question Give a necessary and sufficient criterion for the sequence
so that the power series
is bounded for all
.
![$ (a_n) $](/files/tex/0343ff13b16e6d39031bcb59a0d31a300a582fd0.png)
![$ \sum_{n=0}^{\infty} a_n x^n $](/files/tex/722a4892fa6950b75b1122e5f22a3459d58ec674.png)
![$ x \in \mathbb{R} $](/files/tex/e3182ddcb88f01afefb8cee99a8319c4deb28f83.png)
Keywords: boundedness; power series; real analysis
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