Use the result of exercise 52 above to prove the following: For all integers n 1, x n <

Chapter 11, Problem 53

(choose chapter or problem)

Use the result of exercise 52 above to prove the following: For all integers \(n \geq 1, x^{n}<2^{x}\) for all real numbers \(x>(2 n)^{2 n}\).

Text Transcription:

n geq 1, x^n<2^x

x>(2 n)^2 n

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