Mathematics in Ancient and Medieval India c8.s3.132

c8.s3.132

Then from *Lemma* 2. $S = _n → ∞ _r = 0n-1 (P_r P_r+1)/(1 + AP_r²)$ $= _n → ∞ _r = 0n-1 (t/n)/(1 + (rt/n)²)$ $= _n → ∞ _r = 0n-1 t/n 1 - (rt/n)² + .$ $. + (-1)ν-1 (rt/n)2ν-2 + ((-1)ν (rt/n)2ν)/(1 + (rt/n)²)$