Question

Calculați limitele sirurilor.

Answer 1

Răspuns

lgn<n=>

lgn/10ⁿ<n/10ⁿ

lim n/10ⁿ=0=>lgn/10ⁿ=0

Explicație pas cu pas:

b)(n²+2)/(n+1)-(2n+1)/2=

2(n²+2)/2(n+1)-(2n+1)*(n+1)/2*(n+1)=

(2n²+4-(2n²+n+2n+1))/2(n+1)=

(2n²+4-2n²-3n-1)/2(n+1)=

(-3n+3)/2(n+1)

lim(-3)*(n-1)/2(n+1)=-3/2