Question

Wyznacz granicę ciągu

lim ( n-2 przez n-1) do 4n
n→1

Answer 1

Lim(n->∞) z ((n+2)/(n+4))^n =
= lim(n->∞) z [(n/n) * (1+2/n)/(1+4/n)]^n =
= lim(n->∞) z [(1 + 2/n) / (1 + 4/n)]^n =
= [(1/1)^n] = 1