Sunday, 13 December 2015

sequences and series - Identical Summation and Integration of specific functions

A strange coincidence which I discovered recently, is that
tan11(xα)2+34dx=x=tan11(xα)2+34
Are there any other functions for which this characteristic holds true, and if so, what do they all have in common, and how can we determine them (if possible)?

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real analysis - How to find limhrightarrow0fracsin(ha)h

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