# Exponential Series Convergence

Calculus Level 2

If $$x_1,x_2,x_3,\ldots$$ is a sequence of positive reals such that $$\displaystyle \sum_{k=1}^\infty x_k$$ converges, does $\sum_{k=1}^{\infty}\left(e^{x_k}-1\right)$ converge?

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