Question

Ciągi. Zadanie w załączniku :)

Answer 1

A)
lim_{n⇒+∞}(n²-10n)=lim_{n⇒+∞}[n²(1-10/n)]=+∞
b)
lim_{n⇒+∞}(n²-n³)=lim_{n⇒+∞}-n³(1-1/n)=-∞
c)
lim_{n⇒+∞}(n³-2n+1)=lim_{n⇒+∞}n³(1-2/n²+1/n³)=+∞
d)
lim_{n⇒+∞}(100n³-0,01n⁴)=lim_{n⇒+∞}[-0,01n⁴(1-10000/n)=-∞
e)
lim_{n⇒+∞}(4^n-6*2^n-100)=
lim_{n⇒+∞}[4^n(1-6*(1/2)^2-100/4^n)]=+∞
f)
lim_{n⇒+∞}(3^n+4^n-12^n)=
lim_{n⇒+∞}[-12^n((-3/12)^n+(-3/4)^n-12)]= - ∞