Today I was trying to find the value of 2^i, not exact value though but something in the form of a formula. After 3 hours I ended up with a generalized formula for n^i. I am attaching an image and a pdf file of my work.

New Doc 2020-02-04 18.27.27_1

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in 4th and 5th line, it's 1/π and not 1/n