Question

求解此极限。！

要过程 拜托啦

Answer 1

lim (sin(2/x)+cos(1/x))^x=e^lim[ln(sin(2/x)+cos(1/x))]/(1/x)应用洛必达法则
=e^lim {-2/x^2 cos(2/x) +1/x^2 sin(1/x)}/{-(sin(2/x)+cos(1/x))/x^2}
=e^lim (-2 +0)/(-1)=e^2