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I was trying to solve this question following the Hartle's book (Gravity: an introduction to Einstein’s general relativity) , exercise 9.15, but I don't know how to do the expansion of (1-2GM/c^2r) in powers of 1/c^2...

I know this sounds easy, but I couldn't get the expression from item (b)

Can someone please help me to expand to get the right answer

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# Precession of the perihelion - Schwarzschild metric

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