早教吧 育儿知识 作业答案 考试题库 百科 知识分享

lim(x趋近于0)[sin6x+xf(x)]/x^3=0,则lim(x趋近于0)[6+f(x)]/x^2=?rt

题目详情
lim(x趋近于0)[sin6x+xf(x)]/x^3=0,则lim(x趋近于0)[6+f(x)]/x^2=?
rt
▼优质解答
答案和解析
lim(x趋近于0)[6+f(x)]/x^2=lim(x趋近于0)6/x^2+lim(x趋近于0)f(x)/x^2=lim(x趋近于0)sin6x/x^3+lim(x趋近于0)xf(x)/x^3=lim(x趋近于0)[sin6x+xf(x)]/x^3=0.