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of the rational number. (a) Find a geometric series that is equivalent to 0.13131313... and then express 0.13131313... as a reduced fraction 2, where p and q are integers. (b) Find a reduced fraction 2, where p and q are integers, that is equivalent to 0.46127127....

of the rational number. (a) Find a geometric series that is equivalent to 0.13131313... and then express 0.13131313... as a reduced fraction 2, where p and q are integers. (b) Find a reduced fraction 2, where p and q are integers, that is equivalent to 0.46127127....

Calculus: Early Transcendentals
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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Problem 2: Geometric series provide a tool for explaining why 1 = 0.9999... or = 0.3. The key to such an explanation is finding a convergent geometric series that represents the infinite decimal representation of the rational number. (a) Find a geometric series that is equivalent to 0.13131313.. and then express 0.13131313... as a reduced fraction 2, where p and q are integers. (b) Find a reduced fraction 2, where p and q are integers, that is equivalent to 0.46127127....
Transcribed Image Text:Problem 2: Geometric series provide a tool for explaining why 1 = 0.9999... or = 0.3. The key to such an explanation is finding a convergent geometric series that represents the infinite decimal representation of the rational number. (a) Find a geometric series that is equivalent to 0.13131313.. and then express 0.13131313... as a reduced fraction 2, where p and q are integers. (b) Find a reduced fraction 2, where p and q are integers, that is equivalent to 0.46127127....
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