Question 11.11.1.7: Expanding Summation notation Write out each sum. (a) ∑k=1^n ......

Expanding Summation notation

Write out each sum.

(\mathbf{a})\,\sum_{k=1}^{n}{\frac{1}{k}}\qquad\qquad\qquad\qquad(\mathbf{b})\,\sum_{k=1}^{n}k!
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(a) \sum_{k=1}^{n}{\frac{1}{k}}=1+{\frac{1}{2}}+{\frac{1}{3}}+\ \cdot\cdot\cdot\ +{\frac{1}{n}}                   (b) \sum_{k=1}^{n}k!\,=\,1!\,+\,2!\,+\,\cdot\,\cdot\,\cdot\,+\,n!

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