Lim. (3x^7+2x^5+3)*(9-3x) / (5x^4+3x^2-x)^2 x> беск.

Question

Lim. (3x^7+2x^5+3)*(9-3x) / (5x^4+3x^2-x)^2
x> беск.

Answer 1

=Lim (3x^7)(1+2/3x^2 + 1/x^7)(-3x)(1-3/x)/((25x^8)(1+3/5x^2-1/5x^3)^2)=
lim((-9x^8)/(25x^8))lim(1+2/3x^2 + 1/x^7)/(1+3/5x^2-1/5x^3)^2=
(-9/25)(1+0+0)/((1+0+0)=-9/25