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# Show that, if $\sum a_{k} x^{k}$ and $\sum b_{k} x^{k}$ both converge to the same sum on some interval, then $a_{k}=b_{k}$ for each $k$...

## Question

###### Show that, if $\sum a_{k} x^{k}$ and $\sum b_{k} x^{k}$ both converge to the same sum on some interval, then $a_{k}=b_{k}$ for each $k$

Show that, if $\sum a_{k} x^{k}$ and $\sum b_{k} x^{k}$ both converge to the same sum on some interval, then $a_{k}=b_{k}$ for each $k$

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