limits de successions

lim ( oo+(-n) ) = 0
( oo+(-oo) ) = 0


lim ( (oo+p)+(-n) ) = p
( (oo+p)+(-oo) ) = p


lim ( (oo^{q}+p)+(-1)·n^{q} ) = p
( (oo^{q}+p)+(-1)·oo^{q}) ) = p


lim ( ( (oo+1)^{2}+(-1)(n^{2}+1) )/n ) = 2
( ( (oo+1)^{2}+(-1)(oo^{2}+1) )/oo ) = 2


lim ( ( (oo+1)^{2}+(-1)(n+(-1))^{2} )/n ) = 4
( ( (oo+1)^{2}+(-1)(oo+(-1))^{2} )/oo ) = 4


lim ( ( (oo+1)^{2}+(-1)(n+1) )/(n^{2}+n) ) = 1
( ( (oo+1)^{2}+(-1)(oo+1) )/(oo^{2}+oo) ) = 1


lim ( ( (oo+1)^{3}+(-1)(n^{3}+1) )/(n^{2}+n) ) = 3
( ( (oo+1)^{3}+(-1)(oo^{3}+1) )/(oo^{2}+oo) ) = 3


lim ( ( (oo+1)^{4}+(-1)(n^{2}+1)^{2} )/(n^{3}+n^{2}+n) ) = 4
( ( (oo+1)^{4}+(-1)(oo^{2}+1)^{2} )/(oo^{3}+oo^{2}+oo) ) = 4