a. For all real numbers x, x < 2x . Use this fact to show that for any positive integer
Chapter 11, Problem 51(choose chapter or problem)
a. For all real numbers \(x, x<2^{x}\). Use this fact to show that for any positive integer \(n, x^{n}<n^{n} 2^{x}\) for all real numbers x > 0.
b. Interpret the statement of part (a) using O-notation.
Text Transcription:
x, x<2^x
n, x^n<n^n 2^x
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