Problem

Part I Multiple Choice

(A) $2^{3^2}=8^2=64$.

(B) $\tan^{-1}(\tan \pi)=\pi$.

(C) If $f(x)=f^{-1}(x)$ for all $x\in\mathbb{R}$, then $f(x)=x$.

(D) $\left(1+\frac{1}{n}\right)^n<3$ for all $n\in\mathbb{N}$.