2024 AMC 10A Problems/Problem 1

Revision as of 21:45, 19 August 2024 by Djg6565 (talk | contribs) (Solution)

(problem statement left as an exercise to the reader)

If $x+1=2$, what is $x$?

(a) $1$

(b) $\frac{1}{2} \int_{0}^{2} x \, dx$

(c) $\left[\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^x\right]^{i\pi} + 2$

(d) $\sin^2 \theta + \cos^2 \theta$

(e) $\lim_{{x \to 0}} \frac{\sin x}{x}$