lim(1-3/4x)^x=?

问题描述:

lim(1-3/4x)^x=?

令1/a=-3/4x
则x=-3a/4
所以原式=lim(1+1/a)^((-3a/4)
=lim[(1+1/a)^a]^(-3/4)
=e^(-3/4)