Срешением, lim (при n→∞) ((6-n)^2-(6+n)^2)/((6+n)^2-(1-n)^2) - вопрос №616798862626212 от Julai1234 28.09.2022 18:24

Question

Математика: Срешением, lim (при n→∞) ((6-n)^2-(6+n)^2)/((6+n)^2-(1-n)^2)

Julai1234 · Answer

Lim ((6-n)^2-(6+n)^2)/((6+n)^2-(1-n)^2)= Lim (36-12n+n²)-
Lim ((6-n)^2-(6+n)^2)/((6+n)^2-(1-n)^2)=
lim (36-12n+n² -36-12n-n² )/((36+12n+n²)-(1-2n+n²)=
n→∞
=lim(-24n/(35+14n)=-24/14=-12/7
n→∞