(1+x)/(1-2*x) =
1 + 3 x + 6 x^2 + 12 x^3 + 24 x^4 + 48 x^5 + 96 x^6 + 192 x^7 + 384 x^8 + 768 x^9 + 1536 x^10 + 3072 x^11 + 6144 x^12 + 12288 x^13 + 24576 x^14 + 49152 x^15 + 98304 x^16 + 196608 x^17 + 393216 x^18 + 786432 x^19 + 1572864 x^20 + 3145728 x^21 + 6291456 x^22 + 12582912 x^23 + 25165824 x^24 + 50331648 x^25 + 100663296 x^26 + 201326592 x^27 + 402653184 x^28 + 805306368 x^29 + 1610612736 x^30 + 3221225472 x^31 + 6442450944 x^32 + 12884901888 x^33 + 25769803776 x^34 + 51539607552 x^35 + 103079215104 x^36 + 206158430208 x^37 + 412316860416 x^38 + 824633720832 x^39 + 1649267441664 x^40 + 3298534883328 x^41 + 6597069766656 x^42 + 13194139533312 x^43 + 26388279066624 x^44 + 52776558133248 x^45 + 105553116266496 x^46 + 211106232532992 x^47 + 422212465065984 x^48 + 844424930131968 x^49 + 1688849860263936 x^50 + 3377699720527872 x^51 + 6755399441055744 x^52 + 13510798882111488 x^53 + 27021597764222976 x^54 + 54043195528445952 x^55 + 108086391056891904 x^56 + O(x^57) (Taylor series) (converges when abs(x)<1/2)
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Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
