I know that if a series converges, the following applies:
∞∑n=ican=c∞∑n=ian
However, I can't seem to find any info on whether this holds for diverging series as well. The property is often mentioned together with this one, of which I know it does not apply to divergent series:
∞∑n=ian+bn=∞∑n=ian+∞∑n=ibn
This makes me think the first property might require the same condition, but I'm not sure.
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