1. Prove that Vk Є N, 1k + 2k + ... +nk € (nk+1). 4. Prove that log2 n! € O(n log2 n).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Course: Discrete mathematics for CS

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1. Prove that
Vk Є N, 1k + 2k +
...
+nk € (nk+1).
Transcribed Image Text:1. Prove that Vk Є N, 1k + 2k + ... +nk € (nk+1).
4. Prove that log2 n! € O(n log2 n).
Transcribed Image Text:4. Prove that log2 n! € O(n log2 n).
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