User:Althai/scratchwork

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