# Exercici 05.2

kill(all)$

a[n]:=6/(4*n^2+8*n+3);

P=P:4*n^2+8*n+3;

factor(%);

R=R:6/P;

partfrac(R, n);

x[n]:=3/(2*n+1);

x[n+1];

ratsimp(%);

'lim(x[n])=limit(x[n], n, inf);

'sum(a[n], n, 2, inf)=x[2] - 0;