# fiendish

1. ### A fiendish limit

After struggling with this limit for a while, I would really, really appreciate your help with solving this problem. :) Let a, b, c \in \mathbb{R}_+ be positive real numbers. Without using the l'Hôpital's rule, find the limit \lim_{x\to 0} \left( \frac{a^{x^3}+b^{x^3}+c^{x^3}}...