Sum Of Minuscule Differences
Calculus
Level
3
Let \(\left \{U_n\right \}_{n=1}^{n=\infty} \) be a sequence of positive numbers such that \( \displaystyle \sum_{n=1}^\infty U_n\) converges.
Is it also true that \( \displaystyle \sum_{n=1}^\infty \left( e^{U_n} - 1 \right) \) also converges?
by
Jose Sacramento