1 questions from 2022
Let \( \alpha=\displaystyle\sum_{k=1}^{\infty}\sin^{2k}\!\left(\frac{\pi}{6}\right) \). Let \( g:[0,1]\to\mathbb{R} \) be the function defined by \( g(x)=2^{\alpha x}+2^{\alpha(1-x)} \). Then, which of the following statements is/are TRUE?
