20/08/20 15:45:36.11 iheDeiRk.net
m = 1/√(2/n) とすれば n = 2m^2
lim_[n→∞] (1+√(2/n))^n = lim_[m→∞] (1+1/m)^(2m^2)
= lim_[m→∞] ((1+1/m)^m)^(2m) = lim_[m→∞] e^(2m)
20/08/20 15:45:36.11 iheDeiRk.net
m = 1/√(2/n) とすれば n = 2m^2
lim_[n→∞] (1+√(2/n))^n = lim_[m→∞] (1+1/m)^(2m^2)
= lim_[m→∞] ((1+1/m)^m)^(2m) = lim_[m→∞] e^(2m)