User:Althai/scratchwork

$$= \sum_{i=0}^{n-1} = {\frac1n} \frac{1-{(\frac{n-1}{n}})^n}{1-{\frac{n-1}{n}}} = 1-({\frac{n-1}{n}})^n$$

The derivative of a real-valued function f in a domain D is the Lagrangian section of the cotangent bundle T*(D) that gives the connection form for the unique flat connection on the trivial R-bundle D×R for which the graph of f is parallel.