Week 11 Worksheet

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Summing Series

1. Use the method from the ``Summing Series'' video to show that ${\displaystyle \sum _{n=1}^{\mathrm{\infty }}{\displaystyle \frac{1}{n^4}}={\displaystyle \frac{{\pi }^4}{90}}}$
2. Why doesn't the method from the ``Summing Series'' video work on the series ${\displaystyle \sum _{n=1}^{\mathrm{\infty }}{\displaystyle \frac{1}{n^3}}}$?