Mathematics in Ancient and Medieval India c8.s3.114

c8.s3.114

$1/R[((x²)/2R-(x⁴)/(4!R³))+((x-1)²)/2R-((x-1)⁴)/(4!R³)+]$ $=1/R[(x²)/2R+((x-1)²)/2R+((x-2)²)/2R+]$ $-1/R[(x⁴)/(4!R³)+((x-1)⁴)/(4!R³)+]$ $=1/(2R²)·(x³)/3-1/(4!R⁴)·(x⁵)/5$ $=(x³)/(3!R²)-(x⁵)/(5!R⁴)$