1 23 P L LLL Let an be a bounded sequence of complex numbers Show...
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1 23 P L LLL Let an be a bounded sequence of complex numbers Show that for each 0 the series 1 ann converges uniformly for Rez 1 Here we choose the principal branch of n 00 K Solution ann an C Rez 1 Apply Weierstrass M test ann Cn Rez n 1 Mn Mn an converges uniformly for Rez 1 E
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