Otro
The convergence behavior of a one-parameter family
Autor
Martínez, Soledad
Rosa, Félix
Resumen
Convergence, sequence, limit, exponential Let fa(x) = (1 + (1/x))^(x+a), for x>0. For any a in R, lim fa(x) = e. Moreover:
1. If a<=0, then fa is strictly increasing.
2. If a>=1/2, then fa is strictly decreasing.
3. If 0<a<1/2, then fa has exactly one local minimum and it is the absolute minimum Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática