limx→∞,[x^(7/3)sin(pi/x^2)]/x^(1/3)

问题描述:

limx→∞,[x^(7/3)sin(pi/x^2)]/x^(1/3)

limx→∞,[x^(7/3)sin(pi/x^2)]/x^(1/3)
=limx→∞ sin(pi/x^2)]/(1/x^(2))
=limx→∞ pisin(pi/x^2)]/(pi/x^(2))
=pi