求极限lim(1+3x)^(2/sinx),x趋向于0
问题描述:
求极限lim(1+3x)^(2/sinx),x趋向于0
答
lim(1+3x)^(2/sinx)
=lim e^ln((1+3x)^(2/sinx))
=lim e^[2ln(1+3x)/sinx]
=lim e^(2*3x/x)
=e^6