摘要
针对一类广义积分收敛问题,给出被积函数在无穷处的极限为零的条件.利用这一性质可以证明无穷处函数的极限,有限点处的函数极限,并举了三个例子加以应用.
For a class of convergent improper integrals,the condition that the limit of integrand function is zero at infinity is given.Using the result,the conditions for the limit of a function at infinity or at finite point are given.Three examples are illustrated.
作者
梁亦孔
王国强
LIANG Yikong;WANG Guoqiang(Shanghai University of Engineering Science,School of Mathematics,Physics and Statistics,Shanghai 201620)
出处
《高等数学研究》
2023年第6期10-11,共2页
Studies in College Mathematics
基金
上海市教委重点课程建设项目(编号:424)
上海工程技术大学课程思政建设项目(编号:C202321001).
关键词
极限
广义积分
收敛
limit
improper integral
convergence
