[tex]lim(x->\infty) (1+\frac {3}{x})^3^x[/tex]
=
Замена 1/t=3/x
t=3x
=lim(1+1/t)^(3*3x)=lim((1+1/t)^t)^9 = e^9
1/t=3/x
=lim(1+1/t)^(3*3x)=lim(1+1/t)^9
=e^9
Copyright © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
//=
Замена 1/t=3/x
t=3x
=lim(1+1/t)^(3*3x)=lim((1+1/t)^t)^9 = e^9
1/t=3/x
t=3x
=lim(1+1/t)^(3*3x)=lim(1+1/t)^9
=e^9