Show that if ak; bk {0; 1; . . . ; 9} and if a1/10 +
Question:
a1/10 + a2/102 +∙ ∙ ∙+ an/10n = b1/10 + b2/102+∙ ∙ ∙+ bm/10m ≠ 0;
then n = m and ak = bk for k = 1; . . . ; n.
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We may assume that a n 0 If n m we multiply by 10 n to get 10p a n 10q where p q N so that a ...View the full answer
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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