2024 AMC 12A Problems/Problem 1
If 
, what is 
?
(a) 
(b) 
(c) ![$\left[\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^x\right]^{i\pi} + 2$](http://latex.artofproblemsolving.com/3/b/7/3b7392e910513db4d91c206f2e49b84fcb000b42.png)
(d) 
(e) $\frac{d}{dx} \left[ \frac{3 e^{\pi \phi} \cdot \left(2 \pi + \phi^3\right)}{\sqrt{4 e^{\pi \phi} \cdot \pi}} + \left(5 e^{\phi \pi} + \frac{2 \phi^{\pi}}{3}\right)^{\frac{4 \pi}{\phi}} - \frac{6 \pi^3}{e^{\phi}} + \left(\frac{e^{\pi \phi^2$ (Error compiling LaTeX. Unknown error_msg)
