So I know how to find the "Interval of Convergence" for a power series representation of a Function f(x).(adsbygoogle = window.adsbygoogle || []).push({});

But I Still don't know what that "Interval of Convergence" does for me other than I can choose a number in it and plug it in to the series.

For Example e[itex]^{x}[/itex]=[itex]\sum^{∞}_{n=0} \frac{x^n}{n!}[/itex] ;when a=0;

my "Interval of Convergence" is (-∞,∞). SO now lets say i take the # 1 from my "Interval of Convergence" and place it in the series representation of e^x.

Then i would get back some answer , but what does that answer mean? besides the fact that I got an answer.

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# Interval of convergence?

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