lim(x→+∞)(2/πarctan X)^X

lim(x→+∞)(2/πarctan X)^X

假設a=(2/πarctan X)^Xlna=x*ln(2/πarctan X)lim lna=lim x*ln(2/πarctan X)=lim ln(2/πarctan X)/x^-1用絡比達lim lna = 2/π/(x^2+1)/(2/πarctan X)/-x^-2=-x^2 /(arctan X * x^2+1)=-x^2 /(π/2 *(x^…