A hydrogen atom consists of an electron, of mass m, orbiting a proton, of mass M, where m is much smaller than M. The reduced mass, M, of the hydrogen atom is defined by M = - MM m + M Express u as a series in m/M. Ou= m 1+ m+ M + M + ... Ou= mi - m _ m 2 m M Ou=mitmm +m Ou = m - m + mz - (m)3 + . .. ] Ou= mi - m +m _ m3 12. [-/6 Points] DETAILS MY NOTES A function has the following Taylor series: f ( x ) = (-1) *+1 K! ( x ( 2K ) ! ( x - 5 )k. K = 0 (a) Find f(5) = (b) Find f '(5) = (c) Find f "(5) = (d) Find the equation of the tangent line to f(x) at x = 5