Question

lim->infinity 4n^2/n^2+10000n

Answer 1

let P(n)=4n² /  n²+10000n
when n ----------> infinity, the main rule is as follow
lim P(n)=4n² /  n²+10000n = lim P(n)=4n² /  n²= lim 4=  4
n ----------> infinity                  n ----------> infinity  n ----------> infinity
finally

Lim->infinity 4n^2/n^2+10000n = 4