The discussion explores the generalization of the limit defining the exponential function, specifically focusing on the expression $\lim_{n_1\to \infty , n_2 \to \infty , \ldots , n_k \to \infty } (1+\prod_{i=1}^k x_i/n_i)^{\prod_{i=1}^k n_i}$, which simplifies to $\exp(\prod_i x_i)$. The author then shifts to consider a more complex case involving addition: $\lim (1+\sum_{i=1}^k x_i/n_i)^{\prod_{i=1}^k n_i}$, expressing uncertainty about how to approach this limit. The discussion invites insights on solving this more challenging limit involving sums rather than products. Overall, the thread centers on the exploration of limits related to the exponential function and seeks further mathematical guidance.