[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Mathematics in Ancient and Medieval India](https://indike.org/pramana/ins.science.bag-1979) › c8.s3.40 # Mathematics in Ancient and Medieval India c8.s3.40 Mathematics in Ancient and Medieval India c8.s3.40 - **Language:** English ### [c8.s3.40](https://indike.org/pramana/ins.science.bag-1979.c8.s3.40) Expanding f (n+1) and f (n-1) by Taylor's Theorem, we have form (4), $1/n = U\_n + 2\[ f (n) + (fii(n))/(2!) + (fiv(n))/(4!) +$ $+ 1/((2p)!) f 2p(n+θ₁) - f 2p(n-θ₂) \] 7$ where 0 \< θ₁ \< 1, 0 \< θ₂ \< 1 - [Previous: c8.s3.39](https://indike.org/pramana/ins.science.bag-1979.c8.s3.39) - [Next: c8.s3.41](https://indike.org/pramana/ins.science.bag-1979.c8.s3.41) - [Up: c8.s3](https://indike.org/pramana/ins.science.bag-1979.c8.s3) --- Source: [https://indike.org/pramana/ins.science.bag-1979.c8.s3.40](https://indike.org/pramana/ins.science.bag-1979.c8.s3.40) · Pramāṇa