lim(n趋向于无穷)根号n^2-3n/2n+1

Question

lim(n趋向于无穷)根号n^2-3n/2n+1

Answer 1

lim(n-->∞) √(n² - 3n)/(2n + 1)
= lim(n-->∞) √[(n² - 3n)/n²]/[(2n + 1)/n],上下除以n
= lim(n-->∞) √(1 - 3/n)/(2 + 1/n)
= √(1 - 0)/(2 + 0)
= 1/2