Show that if x is a real number, then [x] – [x] = 1 if x is not an integer and [x] – [x] = 0 if x is an integer. Specify what type of a proof you use.
Show that if x is a real number, then [x] – [x] = 1 if x is not an integer and [x] – [x] = 0 if x is an integer. Specify what type of a proof you use.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Show that if x is a real number, then [x] – [x] = 1 if x is not an integer and [x] – [x] = 0 if
x is an integer. Specify what type of a proof you use.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F059a9d15-2255-4383-9e5b-9a2bd4f09448%2Fa501708d-9675-4213-b413-26df43172cde%2Fcxdsuje_processed.png&w=3840&q=75)
Transcribed Image Text:Show that if x is a real number, then [x] – [x] = 1 if x is not an integer and [x] – [x] = 0 if
x is an integer. Specify what type of a proof you use.
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