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Suppose a is a positive integer and p is a prime. Prove that pja if and only if the

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman ISBN: 9780840049421 447

Solution for problem 39.4 Chapter 39

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 39.4

Suppose a is a positive integer and p is a prime. Prove that pja if and only if the prime factorization of a contains p.

Step-by-Step Solution:
Step 1 of 3

L10 - 3 Theorem. (Squeeze Theorem) If f, g and h are functions so that f(x) ≤ g(x) ≤ hrx)f all x near c(except possibly atdfia lim f(x)=mil h(x)= L, x→c x→c then ▯ ▯ 2 1 ex. Find lx→0x cos x . ▯ ▯ 1 1) First consider lim cos . x→0 x ▯ ▯ 2 1 2) Evaluate lim x cos . x→0 x

Step 2 of 3

Chapter 39, Problem 39.4 is Solved
Step 3 of 3

Textbook: Mathematics: A Discrete Introduction
Edition: 3
Author: Edward A. Scheinerman
ISBN: 9780840049421

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Suppose a is a positive integer and p is a prime. Prove that pja if and only if the