Difference between revisions of "2024 AMC 10A Problems/Problem 1"

Revision as of 22:45, 19 August 2024

Prove the Riemann hypothesis.

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-(problem statement left as an exercise to the reader)
+Prove the Riemann hypothesis.
-If <math>x+1=2</math>, what is <math>x</math>?
-(a) <math>1</math>
-(b) <math>\frac{1}{2} \int_{0}^{2} x \, dx</math>
-(c) <math>\left[\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^x\right]^{i\pi} + 2</math>
-(d) <math>\sin^2 \theta + \cos^2 \theta</math>
-(e) <math>\lim_{{x \to 0}} \frac{\sin x}{x}</math>