- #1
azatkgz
- 186
- 0
lim(n to inf)[e^n-(1+1/n)^n^2]
after some calculations [e^n-e^(n-1/2+1/(3n)+o(1/n))] *
then i took e^n out,so e^n(1-e^(-1/2+1/(3n)+o(1/n))) and i expanded second term
e^n(1-1+1/2-1/(3n)+o(1/n)),so the limit is inf.But my teacher said that my calculations up to * is true then all calculations are wrong.
after some calculations [e^n-e^(n-1/2+1/(3n)+o(1/n))] *
then i took e^n out,so e^n(1-e^(-1/2+1/(3n)+o(1/n))) and i expanded second term
e^n(1-1+1/2-1/(3n)+o(1/n)),so the limit is inf.But my teacher said that my calculations up to * is true then all calculations are wrong.