Mathematics in Ancient and Medieval India c8.s3.41

c8.s3.41

Since f (n) = 0(1/n), fii(n), fiv(n) etc. are 0(1/(n³)), 0(1/(n⁵)) etc. Hence if we propose that U_n = 0(1/(n2p+1)), we obtain from (7) $1/n + 0(1/(n2p+1)) = 2[f (n) + (fii(n))/(2!)$ $+ 1/((2p-2)!) f2p-2(n) ] 8$