Question

函数的极限,高数题, 用定义证：lim(x趋近于无穷大时)(3x^2-x)\(x^2+10）=3

Answer 1

证明:lim(x→∞)[(3x^2-x)\(x^2+10)]
=lim(x→∞)[3(x^2+10)-30-x]/(x^2+10)
=lim(x→∞)[3-30/(x^2+10)-1/(x+10/x)
=lim(x→∞)[3-0-0]
=limx(→∞)(3)
=3.