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## Homework Statement

To find entire functions which satisfy g([itex]\frac{1}{n}[/itex]) = g(-[itex]\frac{1}{n}[/itex]) = [itex]\frac{1}{n^{2}}[/itex]

## Homework Equations

How many functions can be found?

## The Attempt at a Solution

Because the function is entire, it can be expanded in the Taylor series. But how can I work out the question?