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

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