Question

高数极限，请问这道题最后答案是多少?

Answer 1

50

Answer 2

lim(n->∞ ) n.[√(n^2-100) -n ]
=lim(n->∞ ) n.[(n^2-100) -n^2 ] /[√(n^2-100) +n ]
=lim(n->∞ ) -100n /[√(n^2-100) +n ]
=lim(n->∞ ) -100 /[√(1- 100/n^2) +1/n ]
=-100/(1+0)
=-100