题目

请问lim(x→∞)[(x^3+5)/(2x+3)]sin(2/x^2)怎么求?
x^3和x^2代表X的3次方和X的2次方

提问时间：2021-04-16

答案

lim(x→∞)[(x^3+5)/(2x+3)]sin(2/x^2)
=lim(x→∞)[(x^2+5/x)/(2+3/x)]sin(2/x^2)
=lim(x→∞)[(x^2/2]sin(2/x^2)
=lim(x→∞)sin(2/x^2)/[(2/x^2]
=lim(t→0)(sint)/t
=1