Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108.

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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(a) Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108.
(b) Find all n such that the sum of the digits of 2n is 5.
(c) (not to be graded. Also it might be a little bit difficult, don't spend too much time on it) Show that the limit of the
sum of the digits of 2" is ∞ as n→∞0.
Transcribed Image Text:(a) Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108. (b) Find all n such that the sum of the digits of 2n is 5. (c) (not to be graded. Also it might be a little bit difficult, don't spend too much time on it) Show that the limit of the sum of the digits of 2" is ∞ as n→∞0.
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