⒈lim(x→a):(sinx-sina)/(x-a) a为常数⒉lim(x→∞):(1+k/x)^(-x) k为常数⒊lim(y→0):(1-5y)^(1/y)
网友回答
⒈lim(x→a):(sinx-sina)/(x-a) a为常数
用洛必达法则
=lim(x→a) cosx
=cosa⒉lim(x→∞):(1+k/x)^(-x) k为常数
=lim(x→∞) [(1+k/x)^(x/k)]^(-k)
=e^(-k)
⒊lim(y→0) (1-5y)^(1/y)
=lim(y→0) [(1-5y)^(-1/5y)]^(-5)
=e^(-5)