Question

X ao quadrado - 2xp + p ao quadrado = 0

Answer 1

Lim(x->p)[tg(x-p)/(x²-p²)]= 

Lim(x->p)[sen(x-p)/cos(x-p)/(x²-p²)]= 

Lim(x->p)[sen(x-p)/cos(x-p)(x²-p²)]= 

Lim(x->p)[sen(x-p)/ 
/cos(x-p)(x-p)(x+p)]= 

Lim(x->p)[sen(x-p)/(x-p)]. 
.[1/cos(x-p)(x+p)]= 

Lim(x->p)[sen(x-p)/(x-p)]. 
.Lim(x->p)[1/cos(x-p)(x+p)]= 

1.Lim(x->p)[1/cos(x-p)(x+p)]= 

Lim(x->p)[1/cos(p-p)(p+p)]= 

Lim(x->p)[1/2pcos(0)]= 

Lim(x->p)[1/2p.1]= 

1/2p