Suppose S represents any group that has the order |S| = R = 1,234,567, and suppose there is an n that is not an identity element (c) and n ∈ S. Knowing that S ≡ 1 (mod 3); is g3 not equal to c a true statement? Explain why or why not.  Suppose you have a different equation such as, sqrt(a)*log(a). Knowing that a is approaching infinity; is big O(log(a)) a true statment? Explain why or why not.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 90E
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Suppose S represents any group that has the order |S| = R = 1,234,567, and suppose there is an n that is not an identity element (c) and n ∈ S. Knowing that S ≡ 1 (mod 3); is g3 not equal to c a true statement? Explain why or why not. 

Suppose you have a different equation such as, sqrt(a)*log(a). Knowing that a is approaching infinity; is big O(log(a)) a true statment? Explain why or why not.

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