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The Maclaurin series for e converges for all z. including the case when z is a complex number. Using this fact, write the Maclaurin

The Maclaurin series for e converges for all z. including the case when z is a complex number. Using this fact, write the Maclaurin series for ei and hence prove Euler's formula e = cose + isin 0. Hence deduce the extraordinary relation ein +1=0.

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